# 680064

## 680,064 is an even composite number composed of five prime numbers multiplied together.

What does the number 680064 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 128 divisors.

680064 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.

## Prime factorization of 680064:

### 27 × 3 × 7 × 11 × 23

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 23)

See below for interesting mathematical facts about the number 680064 from the Numbermatics database.

### Names of 680064

• Cardinal: 680064 can be written as Six hundred eighty thousand and sixty-four.

### Scientific notation

• Scientific notation: 6.80064 × 105

### Factors of 680064

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 46

### Divisors of 680064

• Number of divisors d(n): 128
• Complete list of divisors:
• Sum of all divisors σ(n): 2350080
• Sum of proper divisors (its aliquot sum) s(n): 1670016
• 680064 is an abundant number, because the sum of its proper divisors (1670016) is greater than itself. Its abundance is 989952

### Bases of 680064

• Binary: 101001100000100000002
• Base-36: EKQO

### Squares and roots of 680064

• 680064 squared (6800642) is 462487044096
• 680064 cubed (6800643) is 314520789156102144
• The square root of 680064 is 824.6599299105
• The cube root of 680064 is 87.9393521517

### Scales and comparisons

How big is 680064?
• 680,064 seconds is equal to 20 hours, 54 minutes, 24 seconds.
• To count from 1 to 680,064 would take you about twenty 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 680064 cubic inches would be around 7.3 feet tall.

### Recreational maths with 680064

• 680064 backwards is 460086
• 680064 is a Harshad number.
• The number of decimal digits it has is: 6
• The sum of 680064's digits is 24
• More coming soon!