48168 has 32 divisors (see below), whose sum is σ = 134400. Its totient is φ = 15984.

The previous prime is 48163. The next prime is 48179. The reversal of 48168 is 86184.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48168.

It is not an unprimeable number, because it can be changed into a prime (48163) by changing a digit.

48168 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 105 + ... + 327.

It is an arithmetic number, because the mean of its divisors is an integer number (4200).

2⁴⁸¹⁶⁸ 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 48168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67200).

48168 is an abundant number, since it is smaller than the sum of its proper divisors (86232).

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

48168 is a wasteful number, since it uses less digits than its factorization.

48168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 228 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 48168 is about 219.4720938981. The cubic root of 48168 is about 36.3847619670.

It can be divided in two parts, 48 and 168, that added together give a cube (216 = 6³).

The spelling of 48168 in words is "forty-eight thousand, one hundred sixty-eight".