680320 has 32 divisors (see below), whose sum is σ = 1627920. Its totient is φ = 271872.

The previous prime is 680299. The next prime is 680321. The reversal of 680320 is 23086.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 109 + ... + 1171.

2⁶⁸⁰³²⁰ 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 680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813960).

680320 is an abundant number, since it is smaller than the sum of its proper divisors (947600).

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

680320 is a wasteful number, since it uses less digits than its factorization.

680320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 680320 is about 824.8151308020. The cubic root of 680320 is about 87.9503852554.

It can be divided in two parts, 680 and 320, that added together give a cube (1000 = 10³).

The spelling of 680320 in words is "six hundred eighty thousand, three hundred twenty".