306680 has 64 divisors (see below), whose sum is σ = 816480. Its totient is φ = 102400.

The previous prime is 306661. The next prime is 306689. The reversal of 306680 is 86603.

306680 is nontrivially palindromic in base 9.

306680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (306689) by changing a digit.

306680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7460 + ... + 7500.

2³⁰⁶⁶⁸⁰ 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 306680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408240).

306680 is an abundant number, since it is smaller than the sum of its proper divisors (509800).

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

306680 is a wasteful number, since it uses less digits than its factorization.

306680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 76 counting only the distinct ones).

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

The square root of 306680 is about 553.7869626490. The cubic root of 306680 is about 67.4365201092.

The spelling of 306680 in words is "three hundred six thousand, six hundred eighty".