57553344 has 84 divisors (see below), whose sum is σ = 166249096. Its totient is φ = 19035648.

The previous prime is 57553343. The next prime is 57553361. The reversal of 57553344 is 44335575.

57553344 is a `hidden beast` number, since 575 + 53 + 34 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 57553299 and 57553308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57553343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93582 + ... + 94194.

Almost surely, 2^57553344 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 57553344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83124548).

57553344 is an abundant number, since it is smaller than the sum of its proper divisors (108695752).

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

57553344 is a wasteful number, since it uses less digits than its factorization.

57553344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 781 counting only the distinct ones).

The product of its digits is 126000, while the sum is 36.

The square root of 57553344 is about 7586.3920278351. The cubic root of 57553344 is about 386.0914528224.

The spelling of 57553344 in words is "fifty-seven million, five hundred fifty-three thousand, three hundred forty-four".