288180 has 36 divisors (see below), whose sum is σ = 874692. Its totient is φ = 76800.

The previous prime is 288179. The next prime is 288181. The reversal of 288180 is 81882.

It is an interprime number because it is at equal distance from previous prime (288179) and next prime (288181).

It can be written as a sum of positive squares in 2 ways, for example, as 224676 + 63504 = 474^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 288180.

It is not an unprimeable number, because it can be changed into a prime (288181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 621 + ... + 980.

It is an arithmetic number, because the mean of its divisors is an integer number (24297).

2²⁸⁸¹⁸⁰ is an apocalyptic number.

288180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288180 is an abundant number, since it is smaller than the sum of its proper divisors (586512).

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

288180 is a wasteful number, since it uses less digits than its factorization.

288180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 288180 is about 536.8239935025. The cubic root of 288180 is about 66.0523001428.

The spelling of 288180 in words is "two hundred eighty-eight thousand, one hundred eighty".