57764168 has 64 divisors (see below), whose sum is σ = 136857600. Its totient is φ = 22201920.

The previous prime is 57764167. The next prime is 57764173. The reversal of 57764168 is 86146775.

It is a hoax number, since the sum of its digits (44) 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 (44).

It is not an unprimeable number, because it can be changed into a prime (57764167) 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, 48071 + ... + 49257.

It is an arithmetic number, because the mean of its divisors is an integer number (2138400).

Almost surely, 2^57764168 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 57764168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68428800).

57764168 is an abundant number, since it is smaller than the sum of its proper divisors (79093432).

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

57764168 is a wasteful number, since it uses less digits than its factorization.

57764168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1286 counting only the distinct ones).

The product of its digits is 282240, while the sum is 44.

The square root of 57764168 is about 7600.2742055797. The cubic root of 57764168 is about 386.5623096631.

The spelling of 57764168 in words is "fifty-seven million, seven hundred sixty-four thousand, one hundred sixty-eight".