243168 has 48 divisors (see below), whose sum is σ = 680400. Its totient is φ = 75776.

The previous prime is 243167. The next prime is 243197. The reversal of 243168 is 861342.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is one of the 548 Lynch-Bell numbers.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1558 + ... + 1706.

It is an arithmetic number, because the mean of its divisors is an integer number (14175).

2²⁴³¹⁶⁸ 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 243168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340200).

243168 is an abundant number, since it is smaller than the sum of its proper divisors (437232).

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

243168 is a wasteful number, since it uses less digits than its factorization.

243168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 171 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 243168 is about 493.1206748860. The cubic root of 243168 is about 62.4168922052.

The spelling of 243168 in words is "two hundred forty-three thousand, one hundred sixty-eight".