89664

89,664 is an even composite number composed of three prime numbers multiplied together.

What does the number 89664 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 28 divisors.

89664 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-eight divisors.

Prime factorization of 89664:

2⁶ × 3 × 467

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 467)

See below for interesting mathematical facts about the number 89664 from the Numbermatics database.

Names of 89664

Cardinal: 89664 can be written as Eighty-nine thousand, six hundred sixty-four.

Scientific notation

Scientific notation: 8.9664 × 10⁴

Factors of 89664

Number of distinct prime factors ω(n): 3
Total number of prime factors Ω(n): 8
Sum of prime factors: 472

Divisors of 89664

Number of divisors d(n): 28
Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 48 64 96 192 467 934 1401 1868 2802 3736 5604 7472 11208 14944 22416 29888 44832 89664
Sum of all divisors σ(n): 237744
Sum of proper divisors (its aliquot sum) s(n): 148080
89664 is an abundant number, because the sum of its proper divisors (148080) is greater than itself. Its abundance is 58416

Bases of 89664

Binary: 10101111001000000₂
Hexadecimal: 0x15E40
Base-36: 1X6O

Squares and roots of 89664

89664 squared (89664²) is 8039632896
89664 cubed (89664³) is 720865643986944
The square root of 89664 is 299.4394763555
The cube root of 89664 is 44.7582093279

Scales and comparisons

How big is 89664?

89,664 seconds is equal to 1 day, 54 minutes, 24 seconds.
To count from 1 to 89,664 would take you about fifty-four minutes.

This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
A cube with a volume of 89664 cubic inches would be around 3.7 feet tall.

Recreational maths with 89664

89664 backwards is 46698
The number of decimal digits it has is: 5
The sum of 89664's digits is 33
More coming soon!

Copy this link to share with anyone:

Share this page on social media:

Link to this page

HTML: To link to this page, just copy and paste the link below into your blog, web page or email.

<a href="https://numbermatics.com/n/89664/?utm_source=shared">Number 89664 - Facts about the integer</a>

BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:

[url=https://numbermatics.com/n/89664/?utm_source=shared]Number 89664 - Facts about the integer[/url]

Cite this page

MLA style:
"Number 89664 - Facts about the integer". Numbermatics.com. 2024. Web. 1 May 2024.

APA style:
Numbermatics. (2024). Number 89664 - Facts about the integer. Retrieved 1 May 2024, from https://numbermatics.com/n/89664/

Chicago style:
Numbermatics. 2024. "Number 89664 - Facts about the integer". https://numbermatics.com/n/89664/

The information we have on file for 89664 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

Keywords: Divisors of 89664, math, Factors of 89664, curriculum, school, college, exams, university, Prime factorization of 89664, STEM, science, technology, engineering, physics, economics, calculator, eighty-nine thousand, six hundred sixty-four.