57990944 has 72 divisors (see below), whose sum is σ = 133025004. Its totient is φ = 24780800.

The previous prime is 57990913. The next prime is 57990973. The reversal of 57990944 is 44909975.

It can be written as a sum of positive squares in 2 ways, for example, as 57942544 + 48400 = 7612^2 + 220^2 .

It is a super-2 number, since 2×57990944² = 6725899172022272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65384 + ... + 66264.

Almost surely, 2^57990944 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 57990944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66512502).

57990944 is an abundant number, since it is smaller than the sum of its proper divisors (75034060).

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

57990944 is a wasteful number, since it uses less digits than its factorization.

57990944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 47.

The square root of 57990944 is about 7615.1785271259. The cubic root of 57990944 is about 387.0675166585.

The spelling of 57990944 in words is "fifty-seven million, nine hundred ninety thousand, nine hundred forty-four".