# 968

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

What does the number 968 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 12 divisors.

968 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of twelve divisors.

## Prime factorization of 968:

### 23 × 112

(2 × 2 × 2 × 11 × 11)

See below for interesting mathematical facts about the number 968 from the Numbermatics database.

### Names of 968

• Cardinal: 968 can be written as Nine hundred sixty-eight.

### Scientific notation

• Scientific notation: 9.68 × 102

### Factors of 968

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 13

### Divisors of 968

• Number of divisors d(n): 12
• Complete list of divisors:
• Sum of all divisors σ(n): 1995
• Sum of proper divisors (its aliquot sum) s(n): 1027
• 968 is an abundant number, because the sum of its proper divisors (1027) is greater than itself. Its abundance is 59

### Bases of 968

• Binary: 11110010002
• Base-36: QW

### Squares and roots of 968

• 968 squared (9682) is 937024
• 968 cubed (9683) is 907039232
• The square root of 968 is 31.1126983721
• The cube root of 968 is 9.8921748863

### Scales and comparisons

How big is 968?
• 968 seconds is equal to 16 minutes, 8 seconds.
• To count from 1 to 968 would take you about eight 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 968 cubic inches would be around 0.8 feet tall.

### Recreational maths with 968

• 968 backwards is 869
• The number of decimal digits it has is: 3
• The sum of 968's digits is 23
• More coming soon!