556121808 has 120 divisors (see below), whose sum is σ = 1754748800. Its totient is φ = 168505920.

The previous prime is 556121767. The next prime is 556121809. The reversal of 556121808 is 808121655.

556121808 is a `hidden beast` number, since 556 + 1 + 21 + 80 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556121809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46953 + ... + 57591.

Almost surely, 2^556121808 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 556121808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877374400).

556121808 is an abundant number, since it is smaller than the sum of its proper divisors (1198626992).

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

556121808 is a wasteful number, since it uses less digits than its factorization.

556121808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10678 (or 10655 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 556121808 is about 23582.2350085822. The cubic root of 556121808 is about 822.3498963278.

The spelling of 556121808 in words is "five hundred fifty-six million, one hundred twenty-one thousand, eight hundred eight".