288264 has 16 divisors (see below), whose sum is σ = 720720. Its totient is φ = 96080.

The previous prime is 288257. The next prime is 288283. The reversal of 288264 is 462882.

It is a happy number.

It is a super-2 number, since 2×288264² = 166192267392, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 2¹² + 8 + 2¹² + 8² + 6⁷ + 4³ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288264.

It is an unprimeable number.

288264 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, 5982 + ... + 6029.

It is an arithmetic number, because the mean of its divisors is an integer number (45045).

2²⁸⁸²⁶⁴ is an apocalyptic number.

288264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

288264 is an abundant number, since it is smaller than the sum of its proper divisors (432456).

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

288264 is a wasteful number, since it uses less digits than its factorization.

288264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12020 (or 12016 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 288264 is about 536.9022257357. The cubic root of 288264 is about 66.0587172597.

The spelling of 288264 in words is "two hundred eighty-eight thousand, two hundred sixty-four".