57126664 has 64 divisors (see below), whose sum is σ = 135302400. Its totient is φ = 22032384.

The previous prime is 57126623. The next prime is 57126689. The reversal of 57126664 is 46662175.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20592 + ... + 23200.

It is an arithmetic number, because the mean of its divisors is an integer number (2114100).

Almost surely, 2^57126664 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 57126664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67651200).

57126664 is an abundant number, since it is smaller than the sum of its proper divisors (78175736).

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

57126664 is a wasteful number, since it uses less digits than its factorization.

57126664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2662 (or 2658 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The square root of 57126664 is about 7558.2183085698. The cubic root of 57126664 is about 385.1349703871.

The spelling of 57126664 in words is "fifty-seven million, one hundred twenty-six thousand, six hundred sixty-four".