# 864000

## 864,000 is an even composite number composed of three prime numbers multiplied together.

What does the number 864000 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 144 divisors.

864000 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.

## Prime factorization of 864000:

### 28 × 33 × 53

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

See below for interesting mathematical facts about the number 864000 from the Numbermatics database.

### Names of 864000

• Cardinal: 864000 can be written as Eight hundred sixty-four thousand.

### Scientific notation

• Scientific notation: 8.64 × 105

### Factors of 864000

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 10

### Divisors of 864000

• Number of divisors d(n): 144
• Complete list of divisors:
• Sum of all divisors σ(n): 3188640
• Sum of proper divisors (its aliquot sum) s(n): 2324640
• 864000 is an abundant number, because the sum of its proper divisors (2324640) is greater than itself. Its abundance is 1460640

### Bases of 864000

• Binary: 110100101111000000002
• Base-36: IIO0

### Squares and roots of 864000

• 864000 squared (8640002) is 746496000000
• 864000 cubed (8640003) is 644972544000000000
• The square root of 864000 is 929.5160030897
• The cube root of 864000 is 95.2440631181

### Scales and comparisons

How big is 864000?
• 864,000 seconds is equal to 3 days.
• To count from 1 to 864,000 would take you about three days!

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 864000 cubic inches would be around 7.9 feet tall.

### Recreational maths with 864000

• 864000 backwards is 000468
• 864000 is a Harshad number.
• The number of decimal digits it has is: 6
• The sum of 864000's digits is 18
• More coming soon!