680306 has 24 divisors (see below), whose sum is σ = 1193616. Its totient is φ = 288320.

The previous prime is 680299. The next prime is 680321. The reversal of 680306 is 603086.

680306 is a modest number, since divided by 306 gives 68 as remainder.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 680306.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6305 + ... + 6411.

It is an arithmetic number, because the mean of its divisors is an integer number (49734).

2⁶⁸⁰³⁰⁶ is an apocalyptic number.

680306 is a deficient number, since it is larger than the sum of its proper divisors (513310).

680306 is a wasteful number, since it uses less digits than its factorization.

680306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 680306 is about 824.8066440082. The cubic root of 680306 is about 87.9497819541.

The spelling of 680306 in words is "six hundred eighty thousand, three hundred six".