57993840 has 80 divisors (see below), whose sum is σ = 199764000. Its totient is φ = 15464448.

The previous prime is 57993829. The next prime is 57993847. The reversal of 57993840 is 4839975.

57993840 is a `hidden beast` number, since 579 + 9 + 38 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57993847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11265 + ... + 15584.

It is an arithmetic number, because the mean of its divisors is an integer number (2497050).

Almost surely, 2^57993840 is an apocalyptic number.

It is an amenable number.

57993840 is an abundant number, since it is smaller than the sum of its proper divisors (141770160).

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

57993840 is a wasteful number, since it uses less digits than its factorization.

57993840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26871 (or 26859 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 57993840 is about 7615.3686713120. The cubic root of 57993840 is about 387.0739597844.

The spelling of 57993840 in words is "fifty-seven million, nine hundred ninety-three thousand, eight hundred forty".