688707 has 12 divisors (see below), whose sum is σ = 1012440. Its totient is φ = 451008.

The previous prime is 688697. The next prime is 688717. The reversal of 688707 is 707886.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (688697) and next prime (688717).

It is not a de Polignac number, because 688707 - 2⁸ = 688451 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

688707 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (688717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118 + ... + 1179.

It is an arithmetic number, because the mean of its divisors is an integer number (84370).

2⁶⁸⁸⁷⁰⁷ is an apocalyptic number.

688707 is a deficient number, since it is larger than the sum of its proper divisors (323733).

688707 is a wasteful number, since it uses less digits than its factorization.

688707 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 688707 is about 829.8837267955. The cubic root of 688707 is about 88.3103282523.

The spelling of 688707 in words is "six hundred eighty-eight thousand, seven hundred seven".