556639600 has 120 divisors (see below), whose sum is σ = 1479740112. Its totient is φ = 199526400.

The previous prime is 556639487. The next prime is 556639607. The reversal of 556639600 is 6936655.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556639607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320334 + ... + 322066.

Almost surely, 2^556639600 is an apocalyptic number.

556639600 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 556639600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739870056).

556639600 is an abundant number, since it is smaller than the sum of its proper divisors (923100512).

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

556639600 is a wasteful number, since it uses less digits than its factorization.

556639600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 40.

The square root of 556639600 is about 23593.2108878804. The cubic root of 556639600 is about 822.6050407386.

The spelling of 556639600 in words is "five hundred fifty-six million, six hundred thirty-nine thousand, six hundred".