680688 has 60 divisors (see below), whose sum is σ = 1982760. Its totient is φ = 217728.

The previous prime is 680681. The next prime is 680707. The reversal of 680688 is 886086.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680681) by changing a digit.

680688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4095 + ... + 4257.

It is an arithmetic number, because the mean of its divisors is an integer number (33046).

2⁶⁸⁰⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991380).

680688 is an abundant number, since it is smaller than the sum of its proper divisors (1302072).

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

680688 is a wasteful number, since it uses less digits than its factorization.

680688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 680688 is about 825.0381809347. The cubic root of 680688 is about 87.9662404940.

The spelling of 680688 in words is "six hundred eighty thousand, six hundred eighty-eight".