90204 has 12 divisors (see below), whose sum is σ = 210504. Its totient is φ = 30064.

The previous prime is 90203. The next prime is 90217. The reversal of 90204 is 40209.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3747 + ... + 3770.

It is an arithmetic number, because the mean of its divisors is an integer number (17542).

2⁹⁰²⁰⁴ is an apocalyptic number.

It is an amenable number.

90204 is an abundant number, since it is smaller than the sum of its proper divisors (120300).

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 (105252).

90204 is a wasteful number, since it uses less digits than its factorization.

90204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7524 (or 7522 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 90204 is about 300.3398075514. The cubic root of 90204 is about 44.8478814175.

The spelling of 90204 in words is "ninety thousand, two hundred four".