90684 has 36 divisors (see below), whose sum is σ = 251160. Its totient is φ = 27360.

The previous prime is 90679. The next prime is 90697. The reversal of 90684 is 48609.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

90684 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 11 ways as a sum of consecutive naturals, for example, 282 + ... + 510.

2⁹⁰⁶⁸⁴ 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 90684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125580).

90684 is an abundant number, since it is smaller than the sum of its proper divisors (160476).

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

90684 is a wasteful number, since it uses less digits than its factorization.

90684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 90684 is about 301.1378421919. The cubic root of 90684 is about 44.9272899874.

It can be divided in two parts, 906 and 84, that added together give a triangular number (990 = T₄₄).

The spelling of 90684 in words is "ninety thousand, six hundred eighty-four".