57932640 has 72 divisors (see below), whose sum is σ = 197700048. Its totient is φ = 15448320.

The previous prime is 57932629. The next prime is 57932669. The reversal of 57932640 is 4623975.

57932640 is a `hidden beast` number, since 5 + 7 + 9 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 57932595 and 57932604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18676 + ... + 21555.

It is an arithmetic number, because the mean of its divisors is an integer number (2745834).

Almost surely, 2^57932640 is an apocalyptic number.

It is an amenable number.

57932640 is an abundant number, since it is smaller than the sum of its proper divisors (139767408).

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

57932640 is a wasteful number, since it uses less digits than its factorization.

57932640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40252 (or 40241 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 57932640 is about 7611.3494204379. The cubic root of 57932640 is about 386.9377541456.

The spelling of 57932640 in words is "fifty-seven million, nine hundred thirty-two thousand, six hundred forty".