288936 has 24 divisors (see below), whose sum is σ = 782730. Its totient is φ = 96288.

The previous prime is 288931. The next prime is 288947. The reversal of 288936 is 639882.

It can be written as a sum of positive squares in only one way, i.e., 202500 + 86436 = 450^2 + 294^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 288936.

It is not an unprimeable number, because it can be changed into a prime (288931) by changing a digit.

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 in 5 ways as a sum of consecutive naturals, for example, 1935 + ... + 2078.

2²⁸⁸⁹³⁶ is an apocalyptic number.

It is an amenable number.

288936 is an abundant number, since it is smaller than the sum of its proper divisors (493794).

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

288936 is a wasteful number, since it uses less digits than its factorization.

288936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4025 (or 4018 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 288936 is about 537.5276737062. The cubic root of 288936 is about 66.1100093710.

The spelling of 288936 in words is "two hundred eighty-eight thousand, nine hundred thirty-six".