309168 has 60 divisors (see below), whose sum is σ = 918840. Its totient is φ = 96768.

The previous prime is 309167. The next prime is 309173. The reversal of 309168 is 861903.

It is a nialpdrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 309168.

It is not an unprimeable number, because it can be changed into a prime (309167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2680 + ... + 2792.

It is an arithmetic number, because the mean of its divisors is an integer number (15314).

2³⁰⁹¹⁶⁸ is an apocalyptic number.

309168 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 309168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459420).

309168 is an abundant number, since it is smaller than the sum of its proper divisors (609672).

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

309168 is a wasteful number, since it uses less digits than its factorization.

309168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 309168 is about 556.0287762337. The cubic root of 309168 is about 67.6183930437.

The spelling of 309168 in words is "three hundred nine thousand, one hundred sixty-eight".