288764 has 12 divisors (see below), whose sum is σ = 577584. Its totient is φ = 123744.

The previous prime is 288751. The next prime is 288767. The reversal of 288764 is 467882.

288764 is an admirable number.

It is a zygodrome in base 3.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288764.

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

288764 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, 5129 + ... + 5184.

It is an arithmetic number, because the mean of its divisors is an integer number (48132).

2²⁸⁸⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

288764 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

288764 is a wasteful number, since it uses less digits than its factorization.

288764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10324 (or 10322 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 288764 is about 537.3676581262. The cubic root of 288764 is about 66.0968886122.

The spelling of 288764 in words is "two hundred eighty-eight thousand, seven hundred sixty-four".