990988800 has 240 divisors, whose sum is σ = 3315403872. Its totient is φ = 260915200.

The previous prime is 990988799. The next prime is 990988847. The reversal of 990988800 is 8889099.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5030302 + ... + 5030498.

Almost surely, 2^990988800 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 990988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657701936).

990988800 is an abundant number, since it is smaller than the sum of its proper divisors (2324415072).

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

990988800 is a wasteful number, since it uses less digits than its factorization.

990988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 51.

The square root of 990988800 is about 31479.9745870291. The cubic root of 990988800 is about 996.9871988114.

The spelling of 990988800 in words is "nine hundred ninety million, nine hundred eighty-eight thousand, eight hundred".