57575960 has 64 divisors (see below), whose sum is σ = 140374080. Its totient is φ = 21127680.

The previous prime is 57575939. The next prime is 57575971. The reversal of 57575960 is 6957575.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136550 + ... + 136970.

It is an arithmetic number, because the mean of its divisors is an integer number (2193345).

Almost surely, 2^57575960 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 57575960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70187040).

57575960 is an abundant number, since it is smaller than the sum of its proper divisors (82798120).

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

57575960 is a wasteful number, since it uses less digits than its factorization.

57575960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 330750, while the sum is 44.

The square root of 57575960 is about 7587.8824450567. The cubic root of 57575960 is about 386.1420186696.

The spelling of 57575960 in words is "fifty-seven million, five hundred seventy-five thousand, nine hundred sixty".