608832006120 has 320 divisors, whose sum is σ = 2206249269840. Its totient is φ = 149697331200.

The previous prime is 608832006053. The next prime is 608832006151. The reversal of 608832006120 is 21600238806.

608832006120 is a `hidden beast` number, since 6 + 0 + 8 + 8 + 32 + 0 + 0 + 612 + 0 = 666.

608832006120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 264518890596 + 344313115524 = 514314^2 + 586782^2 .

It is a super-2 number, since 2×608832006120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39627240 + ... + 39642600.

Almost surely, 2^608832006120 is an apocalyptic number.

608832006120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 608832006120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103124634920).

608832006120 is an abundant number, since it is smaller than the sum of its proper divisors (1597417263720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

608832006120 is a wasteful number, since it uses less digits than its factorization.

608832006120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16338 (or 16325 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 608832006120 in words is "six hundred eight billion, eight hundred thirty-two million, six thousand, one hundred twenty".