90492 has 12 divisors (see below), whose sum is σ = 211176. Its totient is φ = 30160.

The previous prime is 90481. The next prime is 90499. The reversal of 90492 is 29409.

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

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90499) by changing a digit.

90492 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, 3759 + ... + 3782.

It is an arithmetic number, because the mean of its divisors is an integer number (17598).

2⁹⁰⁴⁹² is an apocalyptic number.

It is an amenable number.

90492 is an abundant number, since it is smaller than the sum of its proper divisors (120684).

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 (105588).

90492 is a wasteful number, since it uses less digits than its factorization.

90492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7548 (or 7546 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 90492 is about 300.8188823861. The cubic root of 90492 is about 44.8955602642.

The spelling of 90492 in words is "ninety thousand, four hundred ninety-two".