57346864 has 80 divisors (see below), whose sum is σ = 123742080. Its totient is φ = 25643520.

The previous prime is 57346853. The next prime is 57346871. The reversal of 57346864 is 46864375.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 57346864.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 535899 + ... + 536005.

It is an arithmetic number, because the mean of its divisors is an integer number (1546776).

Almost surely, 2^57346864 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 57346864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61871040).

57346864 is an abundant number, since it is smaller than the sum of its proper divisors (66395216).

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

57346864 is a wasteful number, since it uses less digits than its factorization.

57346864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 212 counting only the distinct ones).

The product of its digits is 483840, while the sum is 43.

The square root of 57346864 is about 7572.7712232709. The cubic root of 57346864 is about 385.6291820342.

It can be divided in two parts, 57 and 346864, that added together give a square (346921 = 589²).

The spelling of 57346864 in words is "fifty-seven million, three hundred forty-six thousand, eight hundred sixty-four".