30168 has 24 divisors (see below), whose sum is σ = 81900. Its totient is φ = 10032.

The previous prime is 30161. The next prime is 30169. The reversal of 30168 is 86103.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 30168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30161) by changing a digit.

30168 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 5 ways as a sum of consecutive naturals, for example, 138 + ... + 281.

2³⁰¹⁶⁸ is an apocalyptic number.

It is an amenable number.

30168 is an abundant number, since it is smaller than the sum of its proper divisors (51732).

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

30168 is a wasteful number, since it uses less digits than its factorization.

30168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 30168 is about 173.6893779136. The cubic root of 30168 is about 31.1302187988.

The spelling of 30168 in words is "thirty thousand, one hundred sixty-eight".