90288 has 80 divisors (see below), whose sum is σ = 297600. Its totient is φ = 25920.

The previous prime is 90281. The next prime is 90289. The reversal of 90288 is 88209.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90288.

It is not an unprimeable number, because it can be changed into a prime (90281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4743 + ... + 4761.

It is an arithmetic number, because the mean of its divisors is an integer number (3720).

2⁹⁰²⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148800).

90288 is an abundant number, since it is smaller than the sum of its proper divisors (207312).

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

90288 is a wasteful number, since it uses less digits than its factorization.

90288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 90288 is about 300.4796166132. The cubic root of 90288 is about 44.8617982182.

It can be divided in two parts, 902 and 88, that added together give a triangular number (990 = T₄₄).

The spelling of 90288 in words is "ninety thousand, two hundred eighty-eight".