288360 has 80 divisors (see below), whose sum is σ = 980100. Its totient is φ = 76032.

The previous prime is 288359. The next prime is 288361. The reversal of 288360 is 63882.

288360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (288359) and next prime (288361).

It can be written as a sum of positive squares in 2 ways, for example, as 272484 + 15876 = 522^2 + 126^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a plaindrome in base 16.

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 288360.

It is not an unprimeable number, because it can be changed into a prime (288361) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3196 + ... + 3284.

2²⁸⁸³⁶⁰ is an apocalyptic number.

288360 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 288360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490050).

288360 is an abundant number, since it is smaller than the sum of its proper divisors (691740).

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

288360 is a wasteful number, since it uses less digits than its factorization.

288360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 288360 is about 536.9916200463. The cubic root of 288360 is about 66.0660495812.

The spelling of 288360 in words is "two hundred eighty-eight thousand, three hundred sixty".