556295168 has 176 divisors, whose sum is σ = 1361828160. Its totient is φ = 223641600.

The previous prime is 556295141. The next prime is 556295183. The reversal of 556295168 is 861592655.

It is a tau number, because it is divible by the number of its divisors (176).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4246463 + ... + 4246593.

It is an arithmetic number, because the mean of its divisors is an integer number (7737660).

Almost surely, 2^556295168 is an apocalyptic number.

556295168 is a gapful number since it is divisible by the number (58) 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 556295168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680914080).

556295168 is an abundant number, since it is smaller than the sum of its proper divisors (805532992).

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

556295168 is a wasteful number, since it uses less digits than its factorization.

556295168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 186 counting only the distinct ones).

The product of its digits is 648000, while the sum is 47.

The square root of 556295168 is about 23585.9103703885. The cubic root of 556295168 is about 822.4353379013.

The spelling of 556295168 in words is "five hundred fifty-six million, two hundred ninety-five thousand, one hundred sixty-eight".