556688000 has 128 divisors (see below), whose sum is σ = 1510367040. Its totient is φ = 202368000.

The previous prime is 556687997. The next prime is 556688003. The reversal of 556688000 is 886655.

It is an interprime number because it is at equal distance from previous prime (556687997) and next prime (556688003).

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (556688003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174419 + ... + 177581.

Almost surely, 2^556688000 is an apocalyptic number.

556688000 is a gapful number since it is divisible by the number (50) 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 556688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755183520).

556688000 is an abundant number, since it is smaller than the sum of its proper divisors (953679040).

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

556688000 is a wasteful number, since it uses less digits than its factorization.

556688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3203 (or 3181 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 556688000 is about 23594.2365843865. The cubic root of 556688000 is about 822.6288819757.

The spelling of 556688000 in words is "five hundred fifty-six million, six hundred eighty-eight thousand".