57668624 has 80 divisors (see below), whose sum is σ = 130491648. Its totient is φ = 24446976.

The previous prime is 57668623. The next prime is 57668627. The reversal of 57668624 is 42686675.

Its product of digits (483840) is a multiple of the sum of its prime factors (432).

It is not an unprimeable number, because it can be changed into a prime (57668623) 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, 166019 + ... + 166365.

Almost surely, 2^57668624 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 57668624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65245824).

57668624 is an abundant number, since it is smaller than the sum of its proper divisors (72823024).

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

57668624 is a wasteful number, since it uses less digits than its factorization.

57668624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 426 counting only the distinct ones).

The product of its digits is 483840, while the sum is 44.

The square root of 57668624 is about 7593.9860415990. The cubic root of 57668624 is about 386.3490627515.

The spelling of 57668624 in words is "fifty-seven million, six hundred sixty-eight thousand, six hundred twenty-four".