288160 has 24 divisors (see below), whose sum is σ = 681156. Its totient is φ = 115200.

The previous prime is 288137. The next prime is 288179. The reversal of 288160 is 61882.

It can be written as a sum of positive squares in 2 ways, for example, as 266256 + 21904 = 516^2 + 148^2 .

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

288160 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 741 + ... + 1060.

2²⁸⁸¹⁶⁰ is an apocalyptic number.

288160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288160 is an abundant number, since it is smaller than the sum of its proper divisors (392996).

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

288160 is a wasteful number, since it uses less digits than its factorization.

288160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 288160 is about 536.8053650999. The cubic root of 288160 is about 66.0507720741.

The spelling of 288160 in words is "two hundred eighty-eight thousand, one hundred sixty".