680928 has 48 divisors (see below), whose sum is σ = 1841616. Its totient is φ = 220160.

The previous prime is 680917. The next prime is 680929. The reversal of 680928 is 829086.

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 680928.

It is not an unprimeable number, because it can be changed into a prime (680929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3850 + ... + 4022.

It is an arithmetic number, because the mean of its divisors is an integer number (38367).

2⁶⁸⁰⁹²⁸ 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 680928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920808).

680928 is an abundant number, since it is smaller than the sum of its proper divisors (1160688).

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

680928 is a wasteful number, since it uses less digits than its factorization.

680928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 680928 is about 825.1836159304. The cubic root of 680928 is about 87.9765777885.

The spelling of 680928 in words is "six hundred eighty thousand, nine hundred twenty-eight".