990120 has 64 divisors (see below), whose sum is σ = 3064320. Its totient is φ = 255744.

The previous prime is 990053. The next prime is 990137. The reversal of 990120 is 21099.

It is a happy number.

It is a super-2 number, since 2×990120² = 1960675228800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4329 + ... + 4551.

It is an arithmetic number, because the mean of its divisors is an integer number (47880).

2⁹⁹⁰¹²⁰ 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 990120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532160).

990120 is an abundant number, since it is smaller than the sum of its proper divisors (2074200).

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

990120 is a wasteful number, since it uses less digits than its factorization.

990120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 990120 is about 995.0477375483. The cubic root of 990120 is about 99.6695760695.

Subtracting from 990120 its sum of digits (21), we obtain a palindrome (990099).

The spelling of 990120 in words is "nine hundred ninety thousand, one hundred twenty".