680768 has 28 divisors (see below), whose sum is σ = 1475232. Its totient is φ = 309120.

The previous prime is 680767. The next prime is 680783. The reversal of 680768 is 867086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680767) 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 3 ways as a sum of consecutive naturals, for example, 221 + ... + 1187.

2⁶⁸⁰⁷⁶⁸ 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 680768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737616).

680768 is an abundant number, since it is smaller than the sum of its proper divisors (794464).

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

680768 is a wasteful number, since it uses less digits than its factorization.

680768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 680768 is about 825.0866621150. The cubic root of 680768 is about 87.9696865288.

The spelling of 680768 in words is "six hundred eighty thousand, seven hundred sixty-eight".