287688 has 16 divisors (see below), whose sum is σ = 719280. Its totient is φ = 95888.

The previous prime is 287681. The next prime is 287689. The reversal of 287688 is 886782.

It is not an unprimeable number, because it can be changed into a prime (287681) by changing a digit.

287688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5970 + ... + 6017.

It is an arithmetic number, because the mean of its divisors is an integer number (44955).

287688 is a Friedman number, since it can be written as 88^2+8+6^7, using all its digits and the basic arithmetic operations.

2²⁸⁷⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

287688 is an abundant number, since it is smaller than the sum of its proper divisors (431592).

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

287688 is a wasteful number, since it uses less digits than its factorization.

287688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11996 (or 11992 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 287688 is about 536.3655469920. The cubic root of 287688 is about 66.0146891088.

The spelling of 287688 in words is "two hundred eighty-seven thousand, six hundred eighty-eight".