687906 has 16 divisors (see below), whose sum is σ = 1528800. Its totient is φ = 229284.

The previous prime is 687901. The next prime is 687917. The reversal of 687906 is 609786.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (687901) 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 7 ways as a sum of consecutive naturals, for example, 6316 + ... + 6423.

It is an arithmetic number, because the mean of its divisors is an integer number (95550).

2⁶⁸⁷⁹⁰⁶ is an apocalyptic number.

687906 is an abundant number, since it is smaller than the sum of its proper divisors (840894).

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

687906 is a wasteful number, since it uses less digits than its factorization.

687906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12750 (or 12744 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 687906 is about 829.4009886659. The cubic root of 687906 is about 88.2760785573.

The spelling of 687906 in words is "six hundred eighty-seven thousand, nine hundred six".