57972840 has 64 divisors (see below), whose sum is σ = 174484800. Its totient is φ = 15409152.

The previous prime is 57972797. The next prime is 57972841. The reversal of 57972840 is 4827975.

It is a junction number, because it is equal to n+sod(n) for n = 57972792 and 57972801.

It is not an unprimeable number, because it can be changed into a prime (57972841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49704 + ... + 50856.

It is an arithmetic number, because the mean of its divisors is an integer number (2726325).

Almost surely, 2^57972840 is an apocalyptic number.

It is an amenable number.

57972840 is an abundant number, since it is smaller than the sum of its proper divisors (116511960).

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

57972840 is a wasteful number, since it uses less digits than its factorization.

57972840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 57972840 is about 7613.9897557063. The cubic root of 57972840 is about 387.0272333592.

The spelling of 57972840 in words is "fifty-seven million, nine hundred seventy-two thousand, eight hundred forty".