57504 has 24 divisors (see below), whose sum is σ = 151200. Its totient is φ = 19136.

The previous prime is 57503. The next prime is 57527. The reversal of 57504 is 40575.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 204 + ... + 395.

It is an arithmetic number, because the mean of its divisors is an integer number (6300).

2⁵⁷⁵⁰⁴ is an apocalyptic number.

It is an amenable number.

57504 is an abundant number, since it is smaller than the sum of its proper divisors (93696).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75600).

57504 is a wasteful number, since it uses less digits than its factorization.

57504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 57504 is about 239.7999165971. The cubic root of 57504 is about 38.5981081339.

It can be divided in two parts, 57 and 504, that added together give a triangular number (561 = T₃₃).

The spelling of 57504 in words is "fifty-seven thousand, five hundred four".