66066 has 48 divisors (see below), whose sum is σ = 178752. Its totient is φ = 15840.

The previous prime is 66047. The next prime is 66067.

66066 is nontrivially palindromic in base 10.

66066 is a nontrivial binomial coefficient, being equal to C(364, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66067) by changing a digit.

66066 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 23 ways as a sum of consecutive naturals, for example, 5076 + ... + 5088.

It is an arithmetic number, because the mean of its divisors is an integer number (3724).

2⁶⁶⁰⁶⁶ is an apocalyptic number.

66066 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

66066 is the 363-rd triangular number and also the 182-nd hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89376).

66066 is an abundant number, since it is smaller than the sum of its proper divisors (112686).

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

66066 is a wasteful number, since it uses less digits than its factorization.

66066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 66066 is about 257.0330718021. The cubic root of 66066 is about 40.4258665185.

The spelling of 66066 in words is "sixty-six thousand, sixty-six", and thus it is an eban number.