# 8064

## 8,064 is an even composite number composed of three prime numbers multiplied together.

What does the number 8064 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 48 divisors.

8064 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of forty-eight divisors.

## Prime factorization of 8064:

### 27 × 32 × 7

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7)

See below for interesting mathematical facts about the number 8064 from the Numbermatics database.

### Names of 8064

• Cardinal: 8064 can be written as Eight thousand and sixty-four.

### Scientific notation

• Scientific notation: 8.064 × 103

### Factors of 8064

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 12

### Divisors of 8064

• Number of divisors d(n): 48
• Complete list of divisors:
• Sum of all divisors σ(n): 26520
• Sum of proper divisors (its aliquot sum) s(n): 18456
• 8064 is an abundant number, because the sum of its proper divisors (18456) is greater than itself. Its abundance is 10392

### Bases of 8064

• Binary: 11111100000002
• Base-36: 680

### Squares and roots of 8064

• 8064 squared (80642) is 65028096
• 8064 cubed (80643) is 524386566144
• The square root of 8064 is 89.7997772825
• The cube root of 8064 is 20.0531917399

### Scales and comparisons

How big is 8064?
• 8,064 seconds is equal to 2 hours, 14 minutes, 24 seconds.
• To count from 1 to 8,064 would take you about two 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 8064 cubic inches would be around 1.7 feet tall.

### Recreational maths with 8064

• 8064 backwards is 4608
• 8064 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 8064's digits is 18
• More coming soon!