556320960 has 420 divisors, whose sum is σ = 2159739648. Its totient is φ = 135862272.

The previous prime is 556320943. The next prime is 556320967. The reversal of 556320960 is 69023655.

556320960 is a `hidden beast` number, since 5 + 563 + 2 + 0 + 96 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (556320967) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4380417 + ... + 4380543.

Almost surely, 2^556320960 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 556320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079869824).

556320960 is an abundant number, since it is smaller than the sum of its proper divisors (1603418688).

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

556320960 is a wasteful number, since it uses less digits than its factorization.

556320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 556320960 is about 23586.4571311590. The cubic root of 556320960 is about 822.4480481347.

The spelling of 556320960 in words is "five hundred fifty-six million, three hundred twenty thousand, nine hundred sixty".