557558656 has 64 divisors (see below), whose sum is σ = 1189728000. Its totient is φ = 259342336.

The previous prime is 557558647. The next prime is 557558681. The reversal of 557558656 is 656855755.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 192225 + ... + 195103.

It is an arithmetic number, because the mean of its divisors is an integer number (18589500).

Almost surely, 2^557558656 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 557558656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594864000).

557558656 is an abundant number, since it is smaller than the sum of its proper divisors (632169344).

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

557558656 is a wasteful number, since it uses less digits than its factorization.

557558656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999 (or 2987 counting only the distinct ones).

The product of its digits is 6300000, while the sum is 52.

The square root of 557558656 is about 23612.6799834326. The cubic root of 557558656 is about 823.0575204619.

The spelling of 557558656 in words is "five hundred fifty-seven million, five hundred fifty-eight thousand, six hundred fifty-six".