288680 has 32 divisors (see below), whose sum is σ = 743040. Its totient is φ = 98880.

The previous prime is 288679. The next prime is 288683. The reversal of 288680 is 86882.

It is a super-2 number, since 2×288680² = 166672284800, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288680.

It is not an unprimeable number, because it can be changed into a prime (288683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 236 + ... + 795.

It is an arithmetic number, because the mean of its divisors is an integer number (23220).

2²⁸⁸⁶⁸⁰ is an apocalyptic number.

288680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288680 is an abundant number, since it is smaller than the sum of its proper divisors (454360).

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

288680 is a wasteful number, since it uses less digits than its factorization.

288680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 288680 is about 537.2894936624. The cubic root of 288680 is about 66.0904789062.

The spelling of 288680 in words is "two hundred eighty-eight thousand, six hundred eighty".