57933960 has 128 divisors (see below), whose sum is σ = 210366720. Its totient is φ = 12460032.

The previous prime is 57933959. The next prime is 57933961. The reversal of 57933960 is 6933975.

It is an interprime number because it is at equal distance from previous prime (57933959) and next prime (57933961).

It is a super-3 number, since 3×57933960³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (57933961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12252 + ... + 16308.

It is an arithmetic number, because the mean of its divisors is an integer number (1643490).

Almost surely, 2^57933960 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 57933960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105183360).

57933960 is an abundant number, since it is smaller than the sum of its proper divisors (152432760).

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

57933960 is a wasteful number, since it uses less digits than its factorization.

57933960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4095 (or 4091 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 42.

The square root of 57933960 is about 7611.4361325574. The cubic root of 57933960 is about 386.9406929262.

The spelling of 57933960 in words is "fifty-seven million, nine hundred thirty-three thousand, nine hundred sixty".