57556224 has 144 divisors (see below), whose sum is σ = 185922240. Its totient is φ = 17418240.

The previous prime is 57556223. The next prime is 57556253. The reversal of 57556224 is 42265575.

57556224 is a `hidden beast` number, since 5 + 75 + 562 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×57556224² = 6625437842276352, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57556223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75654 + ... + 76410.

Almost surely, 2^57556224 is an apocalyptic number.

57556224 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57556224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92961120).

57556224 is an abundant number, since it is smaller than the sum of its proper divisors (128366016).

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

57556224 is a wasteful number, since it uses less digits than its factorization.

57556224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 773 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The square root of 57556224 is about 7586.5818390102. The cubic root of 57556224 is about 386.0978927890.

The spelling of 57556224 in words is "fifty-seven million, five hundred fifty-six thousand, two hundred twenty-four".