687936 has 28 divisors (see below), whose sum is σ = 1820672. Its totient is φ = 229248.

The previous prime is 687931. The next prime is 687949. The reversal of 687936 is 639786.

687936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 687894 and 687903.

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 687936.

It is not an unprimeable number, because it can be changed into a prime (687931) by changing a digit.

687936 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, 1600 + ... + 1983.

It is an arithmetic number, because the mean of its divisors is an integer number (65024).

2⁶⁸⁷⁹³⁶ is an apocalyptic number.

It is an amenable number.

687936 is an abundant number, since it is smaller than the sum of its proper divisors (1132736).

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

687936 is a wasteful number, since it uses less digits than its factorization.

687936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3598 (or 3588 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 687936 is about 829.4190738101. The cubic root of 687936 is about 88.2773617965.

The spelling of 687936 in words is "six hundred eighty-seven thousand, nine hundred thirty-six".