687675 has 24 divisors (see below), whose sum is σ = 1165104. Its totient is φ = 357760.

The previous prime is 687647. The next prime is 687679. The reversal of 687675 is 576786.

It is not a de Polignac number, because 687675 - 2⁹ = 687163 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 687675.

It is not an unprimeable number, because it can be changed into a prime (687679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3889 + ... + 4061.

It is an arithmetic number, because the mean of its divisors is an integer number (48546).

2⁶⁸⁷⁶⁷⁵ is an apocalyptic number.

687675 is a deficient number, since it is larger than the sum of its proper divisors (477429).

687675 is a wasteful number, since it uses less digits than its factorization.

687675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 234 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The square root of 687675 is about 829.2617198448. The cubic root of 687675 is about 88.2661963655.

Subtracting from 687675 its reverse (576786), we obtain a square (110889 = 333²).

The spelling of 687675 in words is "six hundred eighty-seven thousand, six hundred seventy-five".