687806 has 16 divisors (see below), whose sum is σ = 1197024. Its totient is φ = 290304.

The previous prime is 687787. The next prime is 687809. The reversal of 687806 is 608786.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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 687806.

It is not an unprimeable number, because it can be changed into a prime (687809) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 686 + ... + 1358.

It is an arithmetic number, because the mean of its divisors is an integer number (74814).

2⁶⁸⁷⁸⁰⁶ is an apocalyptic number.

687806 is a deficient number, since it is larger than the sum of its proper divisors (509218).

687806 is a wasteful number, since it uses less digits than its factorization.

687806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755.

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 687806 is about 829.3407020037. The cubic root of 687806 is about 88.2718008238.

It can be divided in two parts, 68780 and 6, that added together give a palindrome (68786).

The spelling of 687806 in words is "six hundred eighty-seven thousand, eight hundred six".