6066 has 12 divisors (see below), whose sum is σ = 13182. Its totient is φ = 2016.

The previous prime is 6053. The next prime is 6067. The reversal of 6066 is 6606.

6066 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 5625 + 441 = 75^2 + 21^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 337 = 6066 / (6 + 0 + 6 + 6).

6066 is a modest number, since divided by 66 gives 60 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6067) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 151 + ... + 186.

2⁶⁰⁶⁶ is an apocalyptic number.

6066 is an abundant number, since it is smaller than the sum of its proper divisors (7116).

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

6066 is a wasteful number, since it uses less digits than its factorization.

6066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 6066 is about 77.8845299145. The cubic root of 6066 is about 18.2375908637.

Adding to 6066 its sum of digits (18), we get a square (6084 = 78²).

The spelling of 6066 in words is "six thousand, sixty-six", and thus it is an eban number.