57977344 has 40 divisors (see below), whose sum is σ = 122674068. Its totient is φ = 27279360.

The previous prime is 57977329. The next prime is 57977357. The reversal of 57977344 is 44377975.

It can be written as a sum of positive squares in 2 ways, for example, as 48441600 + 9535744 = 6960^2 + 3088^2 .

It is a super-2 number, since 2×57977344² = 6722744834588672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 57977294 and 57977303.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5374 + ... + 12034.

Almost surely, 2^57977344 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 57977344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61337034).

57977344 is an abundant number, since it is smaller than the sum of its proper divisors (64696724).

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

57977344 is an equidigital number, since it uses as much as digits as its factorization.

57977344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6696 (or 6680 counting only the distinct ones).

The product of its digits is 740880, while the sum is 46.

The square root of 57977344 is about 7614.2855213080. The cubic root of 57977344 is about 387.0372560153.

The spelling of 57977344 in words is "fifty-seven million, nine hundred seventy-seven thousand, three hundred forty-four".