288560 has 20 divisors (see below), whose sum is σ = 671088. Its totient is φ = 115392.

The previous prime is 288559. The next prime is 288571. The reversal of 288560 is 65882.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1724 + ... + 1883.

2²⁸⁸⁵⁶⁰ is an apocalyptic number.

288560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288560 is an abundant number, since it is smaller than the sum of its proper divisors (382528).

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

288560 is a wasteful number, since it uses less digits than its factorization.

288560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3620 (or 3614 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 288560 is about 537.1778104129. The cubic root of 288560 is about 66.0813200259.

It can be divided in two parts, 288 and 560, that added together give a palindrome (848).

The spelling of 288560 in words is "two hundred eighty-eight thousand, five hundred sixty".