# 864

## 864 is an even composite number composed of two prime numbers multiplied together.

What does the number 864 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 24 divisors.

864 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twenty-four divisors.

## Prime factorization of 864:

### 25 × 33

(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3)

See below for interesting mathematical facts about the number 864 from the Numbermatics database.

### Names of 864

• Cardinal: 864 can be written as Eight hundred sixty-four.

### Scientific notation

• Scientific notation: 8.64 × 102

### Factors of 864

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 5

### Divisors of 864

• Number of divisors d(n): 24
• Complete list of divisors:
• Sum of all divisors σ(n): 2520
• Sum of proper divisors (its aliquot sum) s(n): 1656
• 864 is an abundant number, because the sum of its proper divisors (1656) is greater than itself. Its abundance is 792

### Bases of 864

• Binary: 11011000002
• Base-36: O0

### Squares and roots of 864

• 864 squared (8642) is 746496
• 864 cubed (8643) is 644972544
• The square root of 864 is 29.3938769133
• The cube root of 864 is 9.5244063119

### Scales and comparisons

How big is 864?
• 864 seconds is equal to 14 minutes, 24 seconds.
• To count from 1 to 864 would take you about seven 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 864 cubic inches would be around 0.8 feet tall.

### Recreational maths with 864

• 864 backwards is 468
• 864 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 864's digits is 18
• More coming soon!

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Numbermatics. (2023). Number 864 - Facts about the integer. Retrieved 30 March 2023, from https://numbermatics.com/n/864/

Chicago style:
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The information we have on file for 864 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!

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