57274624 has 81 divisors (see below), whose sum is σ = 128653959. Its totient is φ = 25428480.

The previous prime is 57274621. The next prime is 57274627. The reversal of 57274624 is 42647275.

The square root of 57274624 is 7568.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (57274621) and next prime (57274627).

It is a Duffinian number.

Its product of digits (94080) is a multiple of the sum of its prime divisors (56).

It is not an unprimeable number, because it can be changed into a prime (57274621) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1331947 + ... + 1331989.

Almost surely, 2^57274624 is an apocalyptic number.

57274624 is the 7568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57274624

57274624 is an abundant number, since it is smaller than the sum of its proper divisors (71379335).

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

57274624 is an equidigital number, since it uses as much as digits as its factorization.

57274624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 56 counting only the distinct ones).

The product of its digits is 94080, while the sum is 37.

The cubic root of 57274624 is about 385.4671879517.

The spelling of 57274624 in words is "fifty-seven million, two hundred seventy-four thousand, six hundred twenty-four".