57983040 has 140 divisors (see below), whose sum is σ = 206348076. Its totient is φ = 15455232.

The previous prime is 57982999. The next prime is 57983047. The reversal of 57983040 is 4038975.

57983040 is a `hidden beast` number, since 579 + 83 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34012224 + 23970816 = 5832^2 + 4896^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 57982986 and 57983004.

It is not an unprimeable number, because it can be changed into a prime (57983047) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24802 + ... + 27038.

Almost surely, 2^57983040 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 57983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103174038).

57983040 is an abundant number, since it is smaller than the sum of its proper divisors (148365036).

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

57983040 is a wasteful number, since it uses less digits than its factorization.

57983040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 57983040 is about 7614.6595459022. The cubic root of 57983040 is about 387.0499304606.

The spelling of 57983040 in words is "fifty-seven million, nine hundred eighty-three thousand, forty".