57720624 has 80 divisors (see below), whose sum is σ = 161677152. Its totient is φ = 17639424.

The previous prime is 57720617. The next prime is 57720647. The reversal of 57720624 is 42602775.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145194 + ... + 145590.

Almost surely, 2^57720624 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 57720624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80838576).

57720624 is an abundant number, since it is smaller than the sum of its proper divisors (103956528).

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

57720624 is a wasteful number, since it uses less digits than its factorization.

57720624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 57720624 is about 7597.4090320319. The cubic root of 57720624 is about 386.4651519663.

The spelling of 57720624 in words is "fifty-seven million, seven hundred twenty thousand, six hundred twenty-four".