6168 has 16 divisors (see below), whose sum is σ = 15480. Its totient is φ = 2048.

The previous prime is 6163. The next prime is 6173. The reversal of 6168 is 8616.

It is an interprime number because it is at equal distance from previous prime (6163) and next prime (6173).

It is a nude number because it is divisible by every one of its digits.

6168 is an undulating number in base 16.

It is a plaindrome in base 14.

It is a nialpdrome in base 6.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6163) by changing a digit.

6168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

In principle, a polygon with 6168 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 105 + ... + 152.

It is an amenable number.

6168 is an abundant number, since it is smaller than the sum of its proper divisors (9312).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7740).

6168 is a wasteful number, since it uses less digits than its factorization.

6168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 262 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 6168 is about 78.5366156643. The cubic root of 6168 is about 18.3392451091.

The spelling of 6168 in words is "six thousand, one hundred sixty-eight".