990792000 has 560 divisors, whose sum is σ = 4027383360. Its totient is φ = 238464000.

The previous prime is 990791959. The next prime is 990792041. The reversal of 990792000 is 297099.

It is an interprime number because it is at equal distance from previous prime (990791959) and next prime (990792041).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7127931 + ... + 7128069.

It is an arithmetic number, because the mean of its divisors is an integer number (7191756).

Almost surely, 2^990792000 is an apocalyptic number.

990792000 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 990792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013691680).

990792000 is an abundant number, since it is smaller than the sum of its proper divisors (3036591360).

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

990792000 is a wasteful number, since it uses less digits than its factorization.

990792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 990792000 is about 31476.8486351477. The cubic root of 990792000 is about 996.9211973690.

The spelling of 990792000 in words is "nine hundred ninety million, seven hundred ninety-two thousand".