57116664 has 96 divisors (see below), whose sum is σ = 175069440. Its totient is φ = 17301600.

The previous prime is 57116627. The next prime is 57116681. The reversal of 57116664 is 46661175.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20049 + ... + 22719.

It is an arithmetic number, because the mean of its divisors is an integer number (1823640).

Almost surely, 2^57116664 is an apocalyptic number.

57116664 is a gapful number since it is divisible by the number (54) 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 57116664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87534720).

57116664 is an abundant number, since it is smaller than the sum of its proper divisors (117952776).

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

57116664 is a wasteful number, since it uses less digits than its factorization.

57116664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2703 (or 2687 counting only the distinct ones).

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

The square root of 57116664 is about 7557.5567480503. The cubic root of 57116664 is about 385.1124965009.

The spelling of 57116664 in words is "fifty-seven million, one hundred sixteen thousand, six hundred sixty-four".