57501936 has 60 divisors (see below), whose sum is σ = 161822232. Its totient is φ = 19060608.

The previous prime is 57501893. The next prime is 57501947. The reversal of 57501936 is 63910575.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 57501936.

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, 27355 + ... + 29381.

Almost surely, 2^57501936 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 57501936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80911116).

57501936 is an abundant number, since it is smaller than the sum of its proper divisors (104320296).

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

57501936 is a wasteful number, since it uses less digits than its factorization.

57501936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 57501936 is about 7583.0030990367. The cubic root of 57501936 is about 385.9764632574.

The spelling of 57501936 in words is "fifty-seven million, five hundred one thousand, nine hundred thirty-six".