688507 has 4 divisors (see below), whose sum is σ = 699856. Its totient is φ = 677160.

The previous prime is 688477. The next prime is 688511. The reversal of 688507 is 705886.

688507 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 688507 - 2⁷ = 688379 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (688907) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5583 + ... + 5704.

It is an arithmetic number, because the mean of its divisors is an integer number (174964).

2⁶⁸⁸⁵⁰⁷ is an apocalyptic number.

688507 is a deficient number, since it is larger than the sum of its proper divisors (11349).

688507 is a wasteful number, since it uses less digits than its factorization.

688507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11348.

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 688507 is about 829.7632192379. The cubic root of 688507 is about 88.3017790068.

The spelling of 688507 in words is "six hundred eighty-eight thousand, five hundred seven".