57970720 has 48 divisors (see below), whose sum is σ = 140312088. Its totient is φ = 22620160.

The previous prime is 57970699. The next prime is 57970721. The reversal of 57970720 is 2707975.

It can be written as a sum of positive squares in 4 ways, for example, as 50637456 + 7333264 = 7116^2 + 2708^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 57970720.

It is not an unprimeable number, because it can be changed into a prime (57970721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2142 + ... + 10978.

Almost surely, 2^57970720 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 57970720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70156044).

57970720 is an abundant number, since it is smaller than the sum of its proper divisors (82341368).

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

57970720 is a wasteful number, since it uses less digits than its factorization.

57970720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8893 (or 8885 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 37.

The square root of 57970720 is about 7613.8505370148. The cubic root of 57970720 is about 387.0225155883.

The spelling of 57970720 in words is "fifty-seven million, nine hundred seventy thousand, seven hundred twenty".