90068 has 24 divisors (see below), whose sum is σ = 181440. Its totient is φ = 38720.

The previous prime is 90067. The next prime is 90071. The reversal of 90068 is 86009.

It is a super-2 number, since 2×90068² = 16224489248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90067) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 968 + ... + 1056.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

2⁹⁰⁰⁶⁸ is an apocalyptic number.

It is an amenable number.

90068 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (90720).

90068 is a wasteful number, since it uses less digits than its factorization.

90068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 90068 is about 300.1133119340. The cubic root of 90068 is about 44.8253311251.

90068 divided by its sum of digits (23) gives a triangular number (3916 = T₈₈).

The spelling of 90068 in words is "ninety thousand, sixty-eight".