990501120 has 432 divisors, whose sum is σ = 3994728192. Its totient is φ = 221921280.

The previous prime is 990501089. The next prime is 990501151. The reversal of 990501120 is 21105099.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (990501089) and next prime (990501151).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5725354 + ... + 5725526.

It is an arithmetic number, because the mean of its divisors is an integer number (9247056).

Almost surely, 2^990501120 is an apocalyptic number.

990501120 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 990501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997364096).

990501120 is an abundant number, since it is smaller than the sum of its proper divisors (3004227072).

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

990501120 is a wasteful number, since it uses less digits than its factorization.

990501120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 990501120 is about 31472.2277571830. The cubic root of 990501120 is about 996.8236280101.

The spelling of 990501120 in words is "nine hundred ninety million, five hundred one thousand, one hundred twenty".