57957840 has 120 divisors (see below), whose sum is σ = 196815528. Its totient is φ = 15283200.

The previous prime is 57957833. The next prime is 57957899. The reversal of 57957840 is 4875975.

57957840 is a `hidden beast` number, since 5 + 79 + 578 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18870336 + 39087504 = 4344^2 + 6252^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×57957840² = 6718222434931200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72322 + ... + 73118.

Almost surely, 2^57957840 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 57957840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98407764).

57957840 is an abundant number, since it is smaller than the sum of its proper divisors (138857688).

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

57957840 is a wasteful number, since it uses less digits than its factorization.

57957840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 57957840 is about 7613.0046630749. The cubic root of 57957840 is about 386.9938504321.

The spelling of 57957840 in words is "fifty-seven million, nine hundred fifty-seven thousand, eight hundred forty".