990568800 has 432 divisors, whose sum is σ = 3966777360. Its totient is φ = 230584320.

The previous prime is 990568793. The next prime is 990568861. The reversal of 990568800 is 8865099.

990568800 is a `hidden beast` number, since 9 + 9 + 0 + 568 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1778122 + ... + 1778678.

It is an arithmetic number, because the mean of its divisors is an integer number (9182355).

Almost surely, 2^990568800 is an apocalyptic number.

990568800 is a gapful number since it is divisible by the number (90) 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 990568800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983388680).

990568800 is an abundant number, since it is smaller than the sum of its proper divisors (2976208560).

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

990568800 is a wasteful number, since it uses less digits than its factorization.

990568800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 990568800 is about 31473.3029725194. The cubic root of 990568800 is about 996.8463314967.

The spelling of 990568800 in words is "nine hundred ninety million, five hundred sixty-eight thousand, eight hundred".