688506 has 48 divisors (see below), whose sum is σ = 1721664. Its totient is φ = 179712.

The previous prime is 688477. The next prime is 688511. The reversal of 688506 is 605886.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7050 + ... + 7146.

It is an arithmetic number, because the mean of its divisors is an integer number (35868).

2⁶⁸⁸⁵⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860832).

688506 is an abundant number, since it is smaller than the sum of its proper divisors (1033158).

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

688506 is a wasteful number, since it uses less digits than its factorization.

688506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 688506 is about 829.7626166561. The cubic root of 688506 is about 88.3017362564.

The spelling of 688506 in words is "six hundred eighty-eight thousand, five hundred six".