57692416 has 36 divisors (see below), whose sum is σ = 115894800. Its totient is φ = 28662272.

The previous prime is 57692363. The next prime is 57692423. The reversal of 57692416 is 61429675.

Its product of digits (90720) is a multiple of the sum of its prime divisors (1440).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45195 + ... + 46453.

It is an arithmetic number, because the mean of its divisors is an integer number (3219300).

Almost surely, 2^57692416 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 57692416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57947400).

57692416 is an abundant number, since it is smaller than the sum of its proper divisors (58202384).

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

57692416 is a wasteful number, since it uses less digits than its factorization.

57692416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1440 counting only the distinct ones).

The product of its digits is 90720, while the sum is 40.

The square root of 57692416 is about 7595.5523828093. The cubic root of 57692416 is about 386.4021866888.

It can be divided in two parts, 576 and 92416, that multiplied together give a square (53231616 = 7296²).

The spelling of 57692416 in words is "fifty-seven million, six hundred ninety-two thousand, four hundred sixteen".