557635968 has 128 divisors (see below), whose sum is σ = 1654236000. Its totient is φ = 184928256.

The previous prime is 557635951. The next prime is 557635973. The reversal of 557635968 is 869536755.

557635968 is a `hidden beast` number, since 5 + 576 + 3 + 5 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1095298 + ... + 1095806.

Almost surely, 2^557635968 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 557635968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827118000).

557635968 is an abundant number, since it is smaller than the sum of its proper divisors (1096600032).

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

557635968 is a wasteful number, since it uses less digits than its factorization.

557635968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 831 counting only the distinct ones).

The product of its digits is 6804000, while the sum is 54.

The square root of 557635968 is about 23614.3170132020. The cubic root of 557635968 is about 823.0955608734.

The spelling of 557635968 in words is "five hundred fifty-seven million, six hundred thirty-five thousand, nine hundred sixty-eight".