556608000 has 320 divisors, whose sum is σ = 2001871872. Its totient is φ = 136396800.

The previous prime is 556607977. The next prime is 556608001. The reversal of 556608000 is 806655.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556608001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2495889 + ... + 2496111.

Almost surely, 2^556608000 is an apocalyptic number.

556608000 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 556608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000935936).

556608000 is an abundant number, since it is smaller than the sum of its proper divisors (1445263872).

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

556608000 is a wasteful number, since it uses less digits than its factorization.

556608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 556608000 is about 23592.5411941995. The cubic root of 556608000 is about 822.5894742265.

The spelling of 556608000 in words is "five hundred fifty-six million, six hundred eight thousand".