556609968 has 120 divisors (see below), whose sum is σ = 1624896000. Its totient is φ = 184451904.

The previous prime is 556609957. The next prime is 556610003. The reversal of 556609968 is 869906655.

It is a super-2 number, since 2×556609968² = 619629312953922048, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 928933 + ... + 929531.

It is an arithmetic number, because the mean of its divisors is an integer number (13540800).

Almost surely, 2^556609968 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 556609968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812448000).

556609968 is an abundant number, since it is smaller than the sum of its proper divisors (1068286032).

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

556609968 is a wasteful number, since it uses less digits than its factorization.

556609968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The square root of 556609968 is about 23592.5829022598. The cubic root of 556609968 is about 822.5904437025.

The spelling of 556609968 in words is "five hundred fifty-six million, six hundred nine thousand, nine hundred sixty-eight".