57500960 has 96 divisors (see below), whose sum is σ = 152373312. Its totient is φ = 20321280.

The previous prime is 57500959. The next prime is 57500977. The reversal of 57500960 is 6900575.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 64679 + ... + 65561.

It is an arithmetic number, because the mean of its divisors is an integer number (1587222).

Almost surely, 2^57500960 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 57500960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76186656).

57500960 is an abundant number, since it is smaller than the sum of its proper divisors (94872352).

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

57500960 is a wasteful number, since it uses less digits than its factorization.

57500960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 32.

The square root of 57500960 is about 7582.9387443128. The cubic root of 57500960 is about 385.9742794749.

The spelling of 57500960 in words is "fifty-seven million, five hundred thousand, nine hundred sixty".