687663 has 8 divisors (see below), whose sum is σ = 1018800. Its totient is φ = 458424.

The previous prime is 687647. The next prime is 687679. The reversal of 687663 is 366786.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (687647) and next prime (687679).

It is not a de Polignac number, because 687663 - 2⁴ = 687647 is a prime.

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 687663.

It is not an unprimeable number, because it can be changed into a prime (687623) 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 7 ways as a sum of consecutive naturals, for example, 12708 + ... + 12761.

It is an arithmetic number, because the mean of its divisors is an integer number (127350).

2⁶⁸⁷⁶⁶³ is an apocalyptic number.

687663 is a deficient number, since it is larger than the sum of its proper divisors (331137).

687663 is a wasteful number, since it uses less digits than its factorization.

687663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25478 (or 25472 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 687663 is about 829.2544844618. The cubic root of 687663 is about 88.2656829444.

The spelling of 687663 in words is "six hundred eighty-seven thousand, six hundred sixty-three".