90080 has 24 divisors (see below), whose sum is σ = 213192. Its totient is φ = 35968.

The previous prime is 90073. The next prime is 90089. The reversal of 90080 is 8009.

It is a super-2 number, since 2×90080² = 16228812800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90089) by changing a digit.

90080 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 3 ways as a sum of consecutive naturals, for example, 122 + ... + 441.

It is an arithmetic number, because the mean of its divisors is an integer number (8883).

2⁹⁰⁰⁸⁰ is an apocalyptic number.

It is an amenable number.

90080 is an abundant number, since it is smaller than the sum of its proper divisors (123112).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106596).

90080 is a wasteful number, since it uses less digits than its factorization.

90080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 90080 is about 300.1333037169. The cubic root of 90080 is about 44.8273217695.

Adding to 90080 its reverse (8009), we get a palindrome (98089).

The spelling of 90080 in words is "ninety thousand, eighty".