57975840 has 288 divisors, whose sum is σ = 225650880. Its totient is φ = 13436928.

The previous prime is 57975829. The next prime is 57975857. The reversal of 57975840 is 4857975.

57975840 is a `hidden beast` number, since 579 + 75 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×57975840² = 6722396047411200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 355599 + ... + 355761.

It is an arithmetic number, because the mean of its divisors is an integer number (783510).

Almost surely, 2^57975840 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 57975840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112825440).

57975840 is an abundant number, since it is smaller than the sum of its proper divisors (167675040).

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

57975840 is a wasteful number, since it uses less digits than its factorization.

57975840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 205 counting only the distinct ones).

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

The square root of 57975840 is about 7614.1867589389. The cubic root of 57975840 is about 387.0339092536.

The spelling of 57975840 in words is "fifty-seven million, nine hundred seventy-five thousand, eight hundred forty".