57402624 has 72 divisors (see below), whose sum is σ = 156586752. Its totient is φ = 18657280.

The previous prime is 57402619. The next prime is 57402649. The reversal of 57402624 is 42620475.

It is a super-2 number, since 2×57402624² = 6590122484170752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57402591 and 57402600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30577 + ... + 32399.

It is an arithmetic number, because the mean of its divisors is an integer number (2174816).

Almost surely, 2^57402624 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 57402624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78293376).

57402624 is an abundant number, since it is smaller than the sum of its proper divisors (99184128).

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

57402624 is a wasteful number, since it uses less digits than its factorization.

57402624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 57402624 is about 7576.4519400574. The cubic root of 57402624 is about 385.7541276501.

The spelling of 57402624 in words is "fifty-seven million, four hundred two thousand, six hundred twenty-four".