687288 has 32 divisors (see below), whose sum is σ = 1964160. Its totient is φ = 196320.

The previous prime is 687277. The next prime is 687289. The reversal of 687288 is 882786.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687289) by changing a digit.

687288 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1878 + ... + 2213.

It is an arithmetic number, because the mean of its divisors is an integer number (61380).

2⁶⁸⁷²⁸⁸ is an apocalyptic number.

It is an amenable number.

687288 is an abundant number, since it is smaller than the sum of its proper divisors (1276872).

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

687288 is a wasteful number, since it uses less digits than its factorization.

687288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4107 (or 4103 counting only the distinct ones).

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

The square root of 687288 is about 829.0283469219. The cubic root of 687288 is about 88.2496355251.

The spelling of 687288 in words is "six hundred eighty-seven thousand, two hundred eighty-eight".