320288 has 12 divisors (see below), whose sum is σ = 630630. Its totient is φ = 160128.

The previous prime is 320273. The next prime is 320291. The reversal of 320288 is 882023.

It can be written as a sum of positive squares in only one way, i.e., 169744 + 150544 = 412^2 + 388^2 .

320288 is a modest number, since divided by 288 gives 32 as remainder.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 320288.

It is an unprimeable number.

320288 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 (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4973 + ... + 5036.

2³²⁰²⁸⁸ is an apocalyptic number.

It is an amenable number.

320288 is a deficient number, since it is larger than the sum of its proper divisors (310342).

320288 is a wasteful number, since it uses less digits than its factorization.

320288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10019 (or 10011 counting only the distinct ones).

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

The square root of 320288 is about 565.9399261406. The cubic root of 320288 is about 68.4195514256.

The spelling of 320288 in words is "three hundred twenty thousand, two hundred eighty-eight".