556546816 has 72 divisors (see below), whose sum is σ = 1344379680. Its totient is φ = 224477184.

The previous prime is 556546769. The next prime is 556546849. The reversal of 556546816 is 618645655.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21330 + ... + 39598.

It is an arithmetic number, because the mean of its divisors is an integer number (18671940).

Almost surely, 2^556546816 is an apocalyptic number.

556546816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556546816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672189840).

556546816 is an abundant number, since it is smaller than the sum of its proper divisors (787832864).

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

556546816 is a wasteful number, since it uses less digits than its factorization.

556546816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18309 (or 18295 counting only the distinct ones).

The product of its digits is 864000, while the sum is 46.

The square root of 556546816 is about 23591.2444775599. The cubic root of 556546816 is about 822.5593326316.

The spelling of 556546816 in words is "five hundred fifty-six million, five hundred forty-six thousand, eight hundred sixteen".