680208 has 40 divisors (see below), whose sum is σ = 1809408. Its totient is φ = 220032.

The previous prime is 680203. The next prime is 680209. The reversal of 680208 is 802086.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 680208.

It is not an unprimeable number, because it can be changed into a prime (680203) by changing a digit.

680208 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 7 ways as a sum of consecutive naturals, for example, 1585 + ... + 1967.

2⁶⁸⁰²⁰⁸ 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 680208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904704).

680208 is an abundant number, since it is smaller than the sum of its proper divisors (1129200).

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

680208 is a wasteful number, since it uses less digits than its factorization.

680208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 680208 is about 824.7472340057. The cubic root of 680208 is about 87.9455586132.

It can be divided in two parts, 680 and 208, that added together give a palindrome (888).

The spelling of 680208 in words is "six hundred eighty thousand, two hundred eight".