57668724 has 72 divisors (see below), whose sum is σ = 156156000. Its totient is φ = 17889984.

The previous prime is 57668713. The next prime is 57668747. The reversal of 57668724 is 42786675.

57668724 is a `hidden beast` number, since 576 + 6 + 8 + 72 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 57668724.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39642 + ... + 41070.

It is a vampire number, since it can be written as 6726 ⋅ 8574 (with its own digits).

Almost surely, 2^57668724 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 57668724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78078000).

57668724 is an abundant number, since it is smaller than the sum of its proper divisors (98487276).

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

57668724 is a wasteful number, since it uses less digits than its factorization.

57668724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1512 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 57668724 is about 7593.9926257536. The cubic root of 57668724 is about 386.3492860670.

The spelling of 57668724 in words is "fifty-seven million, six hundred sixty-eight thousand, seven hundred twenty-four".