90816 has 56 divisors (see below), whose sum is σ = 268224. Its totient is φ = 26880.

The previous prime is 90803. The next prime is 90821. The reversal of 90816 is 61809.

90816 is nontrivially palindromic in base 7.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2091 + ... + 2133.

2⁹⁰⁸¹⁶ is an apocalyptic number.

90816 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134112).

90816 is an abundant number, since it is smaller than the sum of its proper divisors (177408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90816 is a wasteful number, since it uses less digits than its factorization.

90816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 90816 is about 301.3569312294. The cubic root of 90816 is about 44.9490782013.

The spelling of 90816 in words is "ninety thousand, eight hundred sixteen".