288760 has 16 divisors (see below), whose sum is σ = 649800. Its totient is φ = 115488.

The previous prime is 288751. The next prime is 288767. The reversal of 288760 is 67882.

288760 is nontrivially palindromic in base 3 and base 9.

288760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288767) by changing a digit.

288760 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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3570 + ... + 3649.

2²⁸⁸⁷⁶⁰ is an apocalyptic number.

288760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288760 is an abundant number, since it is smaller than the sum of its proper divisors (361040).

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

288760 is a wasteful number, since it uses less digits than its factorization.

288760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7230 (or 7226 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 288760 is about 537.3639362667. The cubic root of 288760 is about 66.0965834163.

The spelling of 288760 in words is "two hundred eighty-eight thousand, seven hundred sixty".