556616040 has 128 divisors (see below), whose sum is σ = 1776193920. Its totient is φ = 139059200.

The previous prime is 556616029. The next prime is 556616059. The reversal of 556616040 is 40616655.

It is a junction number, because it is equal to n+sod(n) for n = 556615992 and 556616010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 572755 + ... + 573725.

It is an arithmetic number, because the mean of its divisors is an integer number (13876515).

Almost surely, 2^556616040 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 556616040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888096960).

556616040 is an abundant number, since it is smaller than the sum of its proper divisors (1219577880).

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

556616040 is a wasteful number, since it uses less digits than its factorization.

556616040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 556616040 is about 23592.7115864201. The cubic root of 556616040 is about 822.5934348760.

The spelling of 556616040 in words is "five hundred fifty-six million, six hundred sixteen thousand, forty".