306768 has 80 divisors (see below), whose sum is σ = 999936. Its totient is φ = 78720.

The previous prime is 306763. The next prime is 306781. The reversal of 306768 is 867603.

306768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 306768.

It is not an unprimeable number, because it can be changed into a prime (306763) by changing a digit.

306768 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 15 ways as a sum of consecutive naturals, for example, 3655 + ... + 3737.

2³⁰⁶⁷⁶⁸ 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 306768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499968).

306768 is an abundant number, since it is smaller than the sum of its proper divisors (693168).

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

306768 is a wasteful number, since it uses less digits than its factorization.

306768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 306768 is about 553.8664098860. The cubic root of 306768 is about 67.4429696616.

The spelling of 306768 in words is "three hundred six thousand, seven hundred sixty-eight".