309768 has 16 divisors (see below), whose sum is σ = 774480. Its totient is φ = 103248.

The previous prime is 309737. The next prime is 309769. The reversal of 309768 is 867903.

It is a happy number.

It is a super-3 number, since 3×309768³ = 89172493331498496, which contains 333 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 309768.

It is not an unprimeable number, because it can be changed into a prime (309769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6430 + ... + 6477.

It is an arithmetic number, because the mean of its divisors is an integer number (48405).

2³⁰⁹⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

309768 is an abundant number, since it is smaller than the sum of its proper divisors (464712).

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

309768 is a wasteful number, since it uses less digits than its factorization.

309768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12916 (or 12912 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 309768 is about 556.5680551379. The cubic root of 309768 is about 67.6621069455.

The spelling of 309768 in words is "three hundred nine thousand, seven hundred sixty-eight".