90304 has 28 divisors (see below), whose sum is σ = 192024. Its totient is φ = 41984.

The previous prime is 90289. The next prime is 90313. The reversal of 90304 is 40309.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a plaindrome in base 9.

It is a congruent number.

It is an unprimeable number.

90304 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1047 + ... + 1129.

It is an arithmetic number, because the mean of its divisors is an integer number (6858).

2⁹⁰³⁰⁴ 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 90304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96012).

90304 is an abundant number, since it is smaller than the sum of its proper divisors (101720).

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

90304 is a wasteful number, since it uses less digits than its factorization.

90304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 90304 is about 300.5062395359. The cubic root of 90304 is about 44.8644480586.

The spelling of 90304 in words is "ninety thousand, three hundred four".