288240 has 40 divisors (see below), whose sum is σ = 894288. Its totient is φ = 76800.

The previous prime is 288227. The next prime is 288241. The reversal of 288240 is 42882.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 288240.

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 288240.

It is not an unprimeable number, because it can be changed into a prime (288241) by changing a digit.

288240 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 7 ways as a sum of consecutive naturals, for example, 361 + ... + 840.

2²⁸⁸²⁴⁰ is an apocalyptic number.

288240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288240 is an abundant number, since it is smaller than the sum of its proper divisors (606048).

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

288240 is a wasteful number, since it uses less digits than its factorization.

288240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 288240 is about 536.8798748324. The cubic root of 288240 is about 66.0568839250.

It can be divided in two parts, 288 and 240, that added together give a triangular number (528 = T₃₂).

The spelling of 288240 in words is "two hundred eighty-eight thousand, two hundred forty".