288090 has 64 divisors (see below), whose sum is σ = 846720. Its totient is φ = 69120.

The previous prime is 288089. The next prime is 288109. The reversal of 288090 is 90882.

288090 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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 288090.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2922 + ... + 3018.

It is an arithmetic number, because the mean of its divisors is an integer number (13230).

2²⁸⁸⁰⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360).

288090 is an abundant number, since it is smaller than the sum of its proper divisors (558630).

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

288090 is a wasteful number, since it uses less digits than its factorization.

288090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 118 counting only the distinct ones).

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

The square root of 288090 is about 536.7401605991. The cubic root of 288090 is about 66.0454232766.

It can be divided in two parts, 28 and 8090, that added together give a palindrome (8118).

The spelling of 288090 in words is "two hundred eighty-eight thousand, ninety".