57936 has 40 divisors (see below), whose sum is σ = 160704. Its totient is φ = 17920.

The previous prime is 57923. The next prime is 57943. The reversal of 57936 is 63975.

It is a congruent number.

It is an unprimeable number.

57936 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 781 + ... + 851.

2⁵⁷⁹³⁶ 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 57936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80352).

57936 is an abundant number, since it is smaller than the sum of its proper divisors (102768).

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

57936 is a wasteful number, since it uses less digits than its factorization.

57936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 93 counting only the distinct ones).

The product of its digits is 5670, while the sum is 30.

The square root of 57936 is about 240.6989821333. The cubic root of 57936 is about 38.6945234590.

The spelling of 57936 in words is "fifty-seven thousand, nine hundred thirty-six".