90366 has 8 divisors (see below), whose sum is σ = 180744. Its totient is φ = 30120.

The previous prime is 90359. The next prime is 90371. The reversal of 90366 is 66309.

It is a sphenic number, since it is the product of 3 distinct primes.

90366 is an admirable number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90366.

It is an unprimeable number.

90366 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, 7525 + ... + 7536.

It is an arithmetic number, because the mean of its divisors is an integer number (22593).

2⁹⁰³⁶⁶ is an apocalyptic number.

90366 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 (90372).

90366 is a wasteful number, since it uses less digits than its factorization.

90366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15066.

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 90366 is about 300.6093810911. The cubic root of 90366 is about 44.8747132349.

It can be divided in two parts, 903 and 66, that added together give a palindrome (969).

The spelling of 90366 in words is "ninety thousand, three hundred sixty-six".