288320 has 56 divisors (see below), whose sum is σ = 740664. Its totient is φ = 106496.

The previous prime is 288317. The next prime is 288349. The reversal of 288320 is 23882.

It can be written as a sum of positive squares in 4 ways, for example, as 87616 + 200704 = 296^2 + 448^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 288320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5414 + ... + 5466.

2²⁸⁸³²⁰ is an apocalyptic number.

288320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370332).

288320 is an abundant number, since it is smaller than the sum of its proper divisors (452344).

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

288320 is a wasteful number, since it uses less digits than its factorization.

288320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 288320 is about 536.9543742256. The cubic root of 288320 is about 66.0629946451.

The spelling of 288320 in words is "two hundred eighty-eight thousand, three hundred twenty".