2068 has 12 divisors (see below), whose sum is σ = 4032. Its totient is φ = 920.

The previous prime is 2063. The next prime is 2069. The reversal of 2068 is 8602.

2068 is nontrivially palindromic in base 14.

2068 is an undulating number in base 14.

It is a plaindrome in base 12.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2063) by changing a digit.

2068 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 (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21 + ... + 67.

It is an arithmetic number, because the mean of its divisors is an integer number (336).

2²⁰⁶⁸ is an apocalyptic number.

It is an amenable number.

2068 is a deficient number, since it is larger than the sum of its proper divisors (1964).

2068 is a wasteful number, since it uses less digits than its factorization.

2068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2068 is about 45.4752680036. The cubic root of 2068 is about 12.7404131445.

It can be divided in two parts, 20 and 68, that added together give a palindrome (88).

The spelling of 2068 in words is "two thousand, sixty-eight".