33068 has 12 divisors (see below), whose sum is σ = 66192. Its totient is φ = 14160.

The previous prime is 33053. The next prime is 33071. The reversal of 33068 is 86033.

33068 is an admirable number.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a d-powerful number, because it can be written as 3 + 3⁴ + 0 + 6³ + 8⁵ .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 33068.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 563 + ... + 618.

It is an arithmetic number, because the mean of its divisors is an integer number (5516).

2³³⁰⁶⁸ is an apocalyptic number.

It is an amenable number.

33068 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33096).

33068 is a wasteful number, since it uses less digits than its factorization.

33068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 33068 is about 181.8460887674. The cubic root of 33068 is about 32.0973597334.

The spelling of 33068 in words is "thirty-three thousand, sixty-eight".