# 972864

## 972,864 is an even composite number composed of three prime numbers multiplied together.

What does the number 972864 look like?

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

972864 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 972864:

### 26 × 33 × 563

(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 563)

See below for interesting mathematical facts about the number 972864 from the Numbermatics database.

### Names of 972864

• Cardinal: 972864 can be written as Nine hundred seventy-two thousand, eight hundred sixty-four.

### Scientific notation

• Scientific notation: 9.72864 × 105

### Factors of 972864

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 568

### Divisors of 972864

• Number of divisors d(n): 56
• Complete list of divisors:
• Sum of all divisors σ(n): 2865120
• Sum of proper divisors (its aliquot sum) s(n): 1892256
• 972864 is an abundant number, because the sum of its proper divisors (1892256) is greater than itself. Its abundance is 919392

### Bases of 972864

• Binary: 111011011000010000002
• Base-36: KUO0

### Squares and roots of 972864

• 972864 squared (9728642) is 946464362496
• 972864 cubed (9728643) is 920781105555308544
• The square root of 972864 is 986.3386842257
• The cube root of 972864 is 99.0871592389

### Scales and comparisons

How big is 972864?
• 972,864 seconds is equal to 1 week, 4 days, 6 hours, 14 minutes, 24 seconds.
• To count from 1 to 972,864 would take you about four 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 972864 cubic inches would be around 8.3 feet tall.

### Recreational maths with 972864

• 972864 backwards is 468279
• 972864 is a Harshad number.
• The number of decimal digits it has is: 6
• The sum of 972864's digits is 36
• More coming soon!