687968 has 12 divisors (see below), whose sum is σ = 1354500. Its totient is φ = 343968.

The previous prime is 687961. The next prime is 687977. The reversal of 687968 is 869786.

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 687968.

It is not an unprimeable number, because it can be changed into a prime (687961) 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 as a sum of consecutive naturals, namely, 10718 + ... + 10781.

It is an arithmetic number, because the mean of its divisors is an integer number (112875).

2⁶⁸⁷⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

687968 is a deficient number, since it is larger than the sum of its proper divisors (666532).

687968 is a wasteful number, since it uses less digits than its factorization.

687968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21509 (or 21501 counting only the distinct ones).

The product of its digits is 145152, while the sum is 44.

The square root of 687968 is about 829.4383641959. The cubic root of 687968 is about 88.2787305439.

The spelling of 687968 in words is "six hundred eighty-seven thousand, nine hundred sixty-eight".