288168 has 16 divisors (see below), whose sum is σ = 720480. Its totient is φ = 96048.

The previous prime is 288137. The next prime is 288179. The reversal of 288168 is 861882.

288168 is nontrivially palindromic in base 13.

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288168.

It is an unprimeable number.

288168 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 3 ways as a sum of consecutive naturals, for example, 5980 + ... + 6027.

It is an arithmetic number, because the mean of its divisors is an integer number (45030).

2²⁸⁸¹⁶⁸ is an apocalyptic number.

It is an amenable number.

288168 is an abundant number, since it is smaller than the sum of its proper divisors (432312).

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

288168 is a wasteful number, since it uses less digits than its factorization.

288168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12016 (or 12012 counting only the distinct ones).

The product of its digits is 6144, while the sum is 33.

The square root of 288168 is about 536.8128165385. The cubic root of 288168 is about 66.0513833101.

It can be divided in two parts, 288 and 168, that multiplied together give a palindrome (48384).

The spelling of 288168 in words is "two hundred eighty-eight thousand, one hundred sixty-eight".