90084 has 12 divisors (see below), whose sum is σ = 210224. Its totient is φ = 30024.

The previous prime is 90073. The next prime is 90089. The reversal of 90084 is 48009.

It is a tau number, because it is divible by the number of its divisors (12).

It is a self number, because there is not a number n which added to its sum of digits gives 90084.

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

90084 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 3742 + ... + 3765.

2⁹⁰⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

90084 is an abundant number, since it is smaller than the sum of its proper divisors (120140).

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 (105112).

90084 is a wasteful number, since it uses less digits than its factorization.

90084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7514 (or 7512 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 90084 is about 300.1399673486. The cubic root of 90084 is about 44.8279852784.

The spelling of 90084 in words is "ninety thousand, eighty-four".