57040560 has 120 divisors (see below), whose sum is σ = 192956400. Its totient is φ = 15100416.

The previous prime is 57040549. The next prime is 57040579. The reversal of 57040560 is 6504075.

57040560 is a `hidden beast` number, since 570 + 40 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×57040560² = 6507250970227200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163266 + ... + 163614.

It is an arithmetic number, because the mean of its divisors is an integer number (1607970).

Almost surely, 2^57040560 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 57040560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96478200).

57040560 is an abundant number, since it is smaller than the sum of its proper divisors (135915840).

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

57040560 is a wasteful number, since it uses less digits than its factorization.

57040560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 57040560 is about 7552.5201092086. The cubic root of 57040560 is about 384.9413752305.

It can be divided in two parts, 57040 and 560, that added together give a square (57600 = 240²).

The spelling of 57040560 in words is "fifty-seven million, forty thousand, five hundred sixty".