556788960 has 432 divisors, whose sum is σ = 2384194176. Its totient is φ = 117282816.

The previous prime is 556788941. The next prime is 556788989. The reversal of 556788960 is 69887655.

556788960 is a `hidden beast` number, since 556 + 7 + 8 + 89 + 6 + 0 = 666.

556788960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 556788897 and 556788906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 916977 + ... + 917583.

It is an arithmetic number, because the mean of its divisors is an integer number (5518968).

Almost surely, 2^556788960 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 556788960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192097088).

556788960 is an abundant number, since it is smaller than the sum of its proper divisors (1827405216).

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

556788960 is a wasteful number, since it uses less digits than its factorization.

556788960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The square root of 556788960 is about 23596.3759929359. The cubic root of 556788960 is about 822.6786091668.

The spelling of 556788960 in words is "five hundred fifty-six million, seven hundred eighty-eight thousand, nine hundred sixty".