90456 has 16 divisors (see below), whose sum is σ = 226200. Its totient is φ = 30144.

The previous prime is 90439. The next prime is 90469. The reversal of 90456 is 65409.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 3769 = 90456 / (9 + 0 + 4 + 5 + 6).

It is a nialpdrome in base 12.

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 90456.

It is an unprimeable number.

90456 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1861 + ... + 1908.

2⁹⁰⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

90456 is an abundant number, since it is smaller than the sum of its proper divisors (135744).

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 (113100).

90456 is a wasteful number, since it uses less digits than its factorization.

90456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3778 (or 3774 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 90456 is about 300.7590397644. The cubic root of 90456 is about 44.8896059458.

The spelling of 90456 in words is "ninety thousand, four hundred fifty-six".