680960 has 88 divisors (see below), whose sum is σ = 1965120. Its totient is φ = 221184.

The previous prime is 680959. The next prime is 680971. The reversal of 680960 is 69086.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 680960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35831 + ... + 35849.

2⁶⁸⁰⁹⁶⁰ 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 680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982560).

680960 is an abundant number, since it is smaller than the sum of its proper divisors (1284160).

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

680960 is a wasteful number, since it uses less digits than its factorization.

680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 680960 is about 825.2030053266. The cubic root of 680960 is about 87.9779559109.

The spelling of 680960 in words is "six hundred eighty thousand, nine hundred sixty".