687768 has 16 divisors (see below), whose sum is σ = 1719480. Its totient is φ = 229248.

The previous prime is 687767. The next prime is 687773. The reversal of 687768 is 867786.

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 687768.

It is not an unprimeable number, because it can be changed into a prime (687767) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 14305 + ... + 14352.

2⁶⁸⁷⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

687768 is an abundant number, since it is smaller than the sum of its proper divisors (1031712).

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

687768 is a wasteful number, since it uses less digits than its factorization.

687768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28666 (or 28662 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 687768 is about 829.3177919230. The cubic root of 687768 is about 88.2701751764.

The spelling of 687768 in words is "six hundred eighty-seven thousand, seven hundred sixty-eight".