990080 has 128 divisors (see below), whose sum is σ = 3084480. Its totient is φ = 294912.

The previous prime is 990053. The next prime is 990137. The reversal of 990080 is 80099.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

990080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58232 + ... + 58248.

2⁹⁹⁰⁰⁸⁰ 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 990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542240).

990080 is an abundant number, since it is smaller than the sum of its proper divisors (2094400).

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

990080 is a wasteful number, since it uses less digits than its factorization.

990080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The square root of 990080 is about 995.0276378071. The cubic root of 990080 is about 99.6682338629.

The spelling of 990080 in words is "nine hundred ninety thousand, eighty".