688767 has 4 divisors (see below), whose sum is σ = 918360. Its totient is φ = 459176.

The previous prime is 688763. The next prime is 688777. The reversal of 688767 is 767886.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 688767 - 2² = 688763 is a prime.

It is a D-number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688763) 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 3 ways as a sum of consecutive naturals, for example, 114792 + ... + 114797.

It is an arithmetic number, because the mean of its divisors is an integer number (229590).

2⁶⁸⁸⁷⁶⁷ is an apocalyptic number.

688767 is a deficient number, since it is larger than the sum of its proper divisors (229593).

688767 is a wasteful number, since it uses less digits than its factorization.

688767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229592.

The product of its digits is 112896, while the sum is 42.

The square root of 688767 is about 829.9198756507. The cubic root of 688767 is about 88.3128927032.

The spelling of 688767 in words is "six hundred eighty-eight thousand, seven hundred sixty-seven".