57688064 has 60 divisors (see below), whose sum is σ = 132116544. Its totient is φ = 24674304.

The previous prime is 57688039. The next prime is 57688067. The reversal of 57688064 is 46088675.

It is not an unprimeable number, because it can be changed into a prime (57688067) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 114437 + ... + 114939.

Almost surely, 2^57688064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57688064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66058272).

57688064 is an abundant number, since it is smaller than the sum of its proper divisors (74428480).

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

57688064 is an frugal number, since it uses more digits than its factorization.

57688064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The square root of 57688064 is about 7595.2658939632. The cubic root of 57688064 is about 386.3924704227.

The spelling of 57688064 in words is "fifty-seven million, six hundred eighty-eight thousand, sixty-four".