# 8640

## 8,640 is an even composite number composed of three prime numbers multiplied together.

What does the number 8640 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 56 divisors.

8640 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of fifty-six divisors.

## Prime factorization of 8640:

### 26 × 33 × 5

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5)

See below for interesting mathematical facts about the number 8640 from the Numbermatics database.

### Names of 8640

• Cardinal: 8640 can be written as Eight thousand, six hundred forty.

### Scientific notation

• Scientific notation: 8.64 × 103

### Factors of 8640

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 10

### Divisors of 8640

• Number of divisors d(n): 56
• Complete list of divisors:
• Sum of all divisors σ(n): 30480
• Sum of proper divisors (its aliquot sum) s(n): 21840
• 8640 is an abundant number, because the sum of its proper divisors (21840) is greater than itself. Its abundance is 13200

### Bases of 8640

• Binary: 100001110000002
• Base-36: 6O0

### Squares and roots of 8640

• 8640 squared (86402) is 74649600
• 8640 cubed (86403) is 644972544000
• The square root of 8640 is 92.9516003089
• The cube root of 8640 is 20.5197113599

### Scales and comparisons

How big is 8640?
• 8,640 seconds is equal to 2 hours, 24 minutes.
• To count from 1 to 8,640 would take you about two hours.

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 8640 cubic inches would be around 1.7 feet tall.

### Recreational maths with 8640

• 8640 backwards is 0468
• 8640 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 8640's digits is 18
• More coming soon!