990972000 has 144 divisors (see below), whose sum is σ = 3517087392. Its totient is φ = 264249600.

The previous prime is 990971981. The next prime is 990972011. The reversal of 990972000 is 279099.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 22237 + ... + 49763.

It is an arithmetic number, because the mean of its divisors is an integer number (24424218).

Almost surely, 2^990972000 is an apocalyptic number.

990972000 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 990972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758543696).

990972000 is an abundant number, since it is smaller than the sum of its proper divisors (2526115392).

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

990972000 is a wasteful number, since it uses less digits than its factorization.

990972000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27558 (or 27537 counting only the distinct ones).

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

The square root of 990972000 is about 31479.7077495964. The cubic root of 990972000 is about 996.9815648830.

The spelling of 990972000 in words is "nine hundred ninety million, nine hundred seventy-two thousand".