990882816 has 352 divisors, whose sum is σ = 3395727360. Its totient is φ = 249446400.

The previous prime is 990882773. The next prime is 990882833. The reversal of 990882816 is 618288099.

It is a tau number, because it is divible by the number of its divisors (352).

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 31 ways as a sum of consecutive naturals, for example, 13956061 + ... + 13956131.

Almost surely, 2^990882816 is an apocalyptic number.

990882816 is a gapful number since it is divisible by the number (96) 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 990882816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697863680).

990882816 is an abundant number, since it is smaller than the sum of its proper divisors (2404844544).

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

990882816 is a wasteful number, since it uses less digits than its factorization.

990882816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 51.

The square root of 990882816 is about 31478.2911861492. The cubic root of 990882816 is about 996.9516557059.

The spelling of 990882816 in words is "nine hundred ninety million, eight hundred eighty-two thousand, eight hundred sixteen".