288120 has 80 divisors (see below), whose sum is σ = 1008360. Its totient is φ = 65856.

The previous prime is 288109. The next prime is 288137. The reversal of 288120 is 21882.

288120 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 (21).

It is an Ulam number.

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

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 288120.

It is an unprimeable number.

288120 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 19 ways as a sum of consecutive naturals, for example, 41157 + ... + 41163.

2²⁸⁸¹²⁰ is an apocalyptic number.

288120 is a gapful number since it is divisible by the number (20) 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 288120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504180).

288120 is an abundant number, since it is smaller than the sum of its proper divisors (720240).

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

288120 is an equidigital number, since it uses as much as digits as its factorization.

288120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 288120 is about 536.7681063551. The cubic root of 288120 is about 66.0477157244.

The spelling of 288120 in words is "two hundred eighty-eight thousand, one hundred twenty".