57118464 has 108 divisors (see below), whose sum is σ = 177447816. Its totient is φ = 17565696.

The previous prime is 57118463. The next prime is 57118469. The reversal of 57118464 is 46481175.

It is a happy number.

57118464 is a `hidden beast` number, since 571 + 1 + 84 + 6 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57118463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28999 + ... + 30905.

Almost surely, 2^57118464 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 57118464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88723908).

57118464 is an abundant number, since it is smaller than the sum of its proper divisors (120329352).

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

57118464 is a wasteful number, since it uses less digits than its factorization.

57118464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1925 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 57118464 is about 7557.6758332175. The cubic root of 57118464 is about 385.1165419940.

The spelling of 57118464 in words is "fifty-seven million, one hundred eighteen thousand, four hundred sixty-four".