57604560 has 160 divisors (see below), whose sum is σ = 197904000. Its totient is φ = 13768704.

The previous prime is 57604531. The next prime is 57604571. The reversal of 57604560 is 6540675.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115191 + ... + 115689.

It is an arithmetic number, because the mean of its divisors is an integer number (1236900).

Almost surely, 2^57604560 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 57604560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98952000).

57604560 is an abundant number, since it is smaller than the sum of its proper divisors (140299440).

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

57604560 is a wasteful number, since it uses less digits than its factorization.

57604560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 57604560 is about 7589.7667948363. The cubic root of 57604560 is about 386.2059448502.

The spelling of 57604560 in words is "fifty-seven million, six hundred four thousand, five hundred sixty".