90096 has 20 divisors (see below), whose sum is σ = 232872. Its totient is φ = 30016.

The previous prime is 90089. The next prime is 90107. The reversal of 90096 is 69009.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

90096 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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 891 + ... + 986.

2⁹⁰⁰⁹⁶ is an apocalyptic number.

It is an amenable number.

90096 is an abundant number, since it is smaller than the sum of its proper divisors (142776).

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 (116436).

90096 is a wasteful number, since it uses less digits than its factorization.

90096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 90096 is about 300.1599573561. The cubic root of 90096 is about 44.8299756871.

The spelling of 90096 in words is "ninety thousand, ninety-six".