687677 has 8 divisors (see below), whose sum is σ = 743040. Its totient is φ = 634480.

The previous prime is 687647. The next prime is 687679. The reversal of 687677 is 776786.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 687677 - 2¹⁸ = 425533 is a prime.

It is a Duffinian number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 152 + ... + 1182.

It is an arithmetic number, because the mean of its divisors is an integer number (92880).

2⁶⁸⁷⁶⁷⁷ is an apocalyptic number.

It is an amenable number.

687677 is a deficient number, since it is larger than the sum of its proper divisors (55363).

687677 is a wasteful number, since it uses less digits than its factorization.

687677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083.

The product of its digits is 98784, while the sum is 41.

The square root of 687677 is about 829.2629257359. The cubic root of 687677 is about 88.2662819351.

The spelling of 687677 in words is "six hundred eighty-seven thousand, six hundred seventy-seven".