57004560 has 200 divisors, whose sum is σ = 208855680. Its totient is φ = 14370048.

The previous prime is 57004543. The next prime is 57004573. The reversal of 57004560 is 6540075.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 122889 + ... + 123351.

Almost surely, 2^57004560 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 57004560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104427840).

57004560 is an abundant number, since it is smaller than the sum of its proper divisors (151851120).

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

57004560 is a wasteful number, since it uses less digits than its factorization.

57004560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 492 counting only the distinct ones).

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

The square root of 57004560 is about 7550.1364226085. The cubic root of 57004560 is about 384.8603755237.

The spelling of 57004560 in words is "fifty-seven million, four thousand, five hundred sixty".