4068 has 18 divisors (see below), whose sum is σ = 10374. Its totient is φ = 1344.

The previous prime is 4057. The next prime is 4073. The reversal of 4068 is 8604.

It can be written as a sum of positive squares in only one way, i.e., 2304 + 1764 = 48^2 + 42^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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

4068 is an undulating number in base 15.

It is a plaindrome in base 5.

It is a nialpdrome in base 4, base 8, base 9 and base 16.

It is a zygodrome in base 5 and base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 4068.

It is an unprimeable number.

4068 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, 21 + ... + 92.

It is an amenable number.

4068 is an abundant number, since it is smaller than the sum of its proper divisors (6306).

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

4068 is a wasteful number, since it uses less digits than its factorization.

4068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4068 is about 63.7808748764. The cubic root of 4068 is about 15.9634582741.

It can be divided in two parts, 406 and 8, that added together give a palindrome (414).

The spelling of 4068 in words is "four thousand, sixty-eight".