287568 has 30 divisors (see below), whose sum is σ = 805194. Its totient is φ = 95808.

The previous prime is 287557. The next prime is 287579. The reversal of 287568 is 865782.

287568 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (287557) and next prime (287579).

It can be written as a sum of positive squares in only one way, i.e., 166464 + 121104 = 408^2 + 348^2 .

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

It is a d-powerful number, because it can be written as 2² + 8² + 5⁵ + 7³ + 6⁷ + 8⁴ .

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 287568.

It is an unprimeable number.

287568 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 in 5 ways as a sum of consecutive naturals, for example, 855 + ... + 1142.

2²⁸⁷⁵⁶⁸ is an apocalyptic number.

It is an amenable number.

287568 is an abundant number, since it is smaller than the sum of its proper divisors (517626).

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

287568 is a wasteful number, since it uses less digits than its factorization.

287568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2011 (or 2002 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 287568 is about 536.2536713161. The cubic root of 287568 is about 66.0055091820.

The spelling of 287568 in words is "two hundred eighty-seven thousand, five hundred sixty-eight".