57776964 has 48 divisors (see below), whose sum is σ = 155947008. Its totient is φ = 16306848.

The previous prime is 57776951. The next prime is 57776969. The reversal of 57776964 is 46967775.

57776964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (57776969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2829 + ... + 11115.

It is an arithmetic number, because the mean of its divisors is an integer number (3248896).

Almost surely, 2^57776964 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 57776964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77973504).

57776964 is an abundant number, since it is smaller than the sum of its proper divisors (98170044).

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

57776964 is a wasteful number, since it uses less digits than its factorization.

57776964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8384 (or 8382 counting only the distinct ones).

The product of its digits is 2222640, while the sum is 51.

The square root of 57776964 is about 7601.1159706980. The cubic root of 57776964 is about 386.5908514984.

The spelling of 57776964 in words is "fifty-seven million, seven hundred seventy-six thousand, nine hundred sixty-four".