20068 has 12 divisors (see below), whose sum is σ = 36540. Its totient is φ = 9632.

The previous prime is 20063. The next prime is 20071. The reversal of 20068 is 86002.

It can be written as a sum of positive squares in 2 ways, for example, as 14884 + 5184 = 122^2 + 72^2 .

It is a plaindrome in base 7.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (20063) by changing a digit.

20068 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 3 ways as a sum of consecutive naturals, for example, 30 + ... + 202.

It is an arithmetic number, because the mean of its divisors is an integer number (3045).

2²⁰⁰⁶⁸ is an apocalyptic number.

It is an amenable number.

20068 is a deficient number, since it is larger than the sum of its proper divisors (16472).

20068 is a wasteful number, since it uses less digits than its factorization.

20068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 204 counting only the distinct ones).

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

The square root of 20068 is about 141.6615685357. The cubic root of 20068 is about 27.1749047661.

Adding to 20068 its product of nonzero digits (96), we get a square (20164 = 142²).

The spelling of 20068 in words is "twenty thousand, sixty-eight".