# 11664

## 11,664 is an even composite number composed of two prime numbers multiplied together.

What does the number 11664 look like?

This visualization shows the relationship between its 2 prime factors (large circles) and 35 divisors.

11664 is an even composite number. It is composed of two distinct prime numbers multiplied together. It has a total of thirty-five divisors.

## Prime factorization of 11664:

### 24 × 36

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

See below for interesting mathematical facts about the number 11664 from the Numbermatics database.

### Names of 11664

• Cardinal: 11664 can be written as Eleven thousand, six hundred sixty-four.

### Scientific notation

• Scientific notation: 1.1664 × 104

### Factors of 11664

• Number of distinct prime factors ω(n): 2
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 5

### Divisors of 11664

• Number of divisors d(n): 35
• Complete list of divisors:
• Sum of all divisors σ(n): 33883
• Sum of proper divisors (its aliquot sum) s(n): 22219
• 11664 is an abundant number, because the sum of its proper divisors (22219) is greater than itself. Its abundance is 10555

### Bases of 11664

• Binary: 101101100100002
• Base-36: 900

### Squares and roots of 11664

• 11664 squared (116642) is 136048896
• 11664 cubed (116643) is 1586874322944
• 11664 is a perfect square number. Its square root is 108
• The cube root of 11664 is 22.6785788979
• Being both a perfect square and a perfect cube, 11664 is also a perfect sixth number.

### Scales and comparisons

How big is 11664?
• 11,664 seconds is equal to 3 hours, 14 minutes, 24 seconds.
• To count from 1 to 11,664 would take you about three 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 11664 cubic inches would be around 1.9 feet tall.

### Recreational maths with 11664

• 11664 backwards is 46611
• 11664 is a Harshad number.
• The number of decimal digits it has is: 5
• The sum of 11664's digits is 18
• More coming soon!