90192 has 20 divisors (see below), whose sum is σ = 233120. Its totient is φ = 30048.

The previous prime is 90191. The next prime is 90197. The reversal of 90192 is 29109.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90191) by changing a digit.

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, 892 + ... + 987.

It is an arithmetic number, because the mean of its divisors is an integer number (11656).

2⁹⁰¹⁹² is an apocalyptic number.

It is an amenable number.

90192 is an abundant number, since it is smaller than the sum of its proper divisors (142928).

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 (116560).

90192 is a wasteful number, since it uses less digits than its factorization.

90192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 90192 is about 300.3198295151. The cubic root of 90192 is about 44.8458925980.

It can be divided in two parts, 90 and 192, that added together give a palindrome (282).

The spelling of 90192 in words is "ninety thousand, one hundred ninety-two".