# 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!