57793344 has 84 divisors (see below), whose sum is σ = 177905664. Its totient is φ = 16509696.

The previous prime is 57793339. The next prime is 57793357. The reversal of 57793344 is 44339775.

57793344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×57793344² = 6680141221404672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 57793296 and 57793305.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6337 + ... + 12479.

Almost surely, 2^57793344 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 57793344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88952832).

57793344 is an abundant number, since it is smaller than the sum of its proper divisors (120112320).

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

57793344 is a wasteful number, since it uses less digits than its factorization.

57793344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6172 (or 6155 counting only the distinct ones).

The product of its digits is 317520, while the sum is 42.

The square root of 57793344 is about 7602.1933677065. The cubic root of 57793344 is about 386.6273813965.

The spelling of 57793344 in words is "fifty-seven million, seven hundred ninety-three thousand, three hundred forty-four".