57973320 has 160 divisors (see below), whose sum is σ = 201900600. Its totient is φ = 14902272.

The previous prime is 57973319. The next prime is 57973337. The reversal of 57973320 is 2337975.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 30536676 + 27436644 = 5526^2 + 5238^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 93652 + ... + 94268.

Almost surely, 2^57973320 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 57973320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100950300).

57973320 is an abundant number, since it is smaller than the sum of its proper divisors (143927280).

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

57973320 is a wasteful number, since it uses less digits than its factorization.

57973320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 57973320 is about 7614.0212765660. The cubic root of 57973320 is about 387.0283015178.

The spelling of 57973320 in words is "fifty-seven million, nine hundred seventy-three thousand, three hundred twenty".