57924216 has 96 divisors (see below), whose sum is σ = 180367200. Its totient is φ = 16450560.

The previous prime is 57924211. The next prime is 57924227. The reversal of 57924216 is 61242975.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (57924211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141420 + ... + 141828.

It is an arithmetic number, because the mean of its divisors is an integer number (1878825).

Almost surely, 2^57924216 is an apocalyptic number.

57924216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57924216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90183600).

57924216 is an abundant number, since it is smaller than the sum of its proper divisors (122442984).

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

57924216 is a wasteful number, since it uses less digits than its factorization.

57924216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 702 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 57924216 is about 7610.7960161865. The cubic root of 57924216 is about 386.9189983305.

The spelling of 57924216 in words is "fifty-seven million, nine hundred twenty-four thousand, two hundred sixteen".