66084 has 12 divisors (see below), whose sum is σ = 154224. Its totient is φ = 22024.

The previous prime is 66083. The next prime is 66089. The reversal of 66084 is 48066.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 66084.

It is not an unprimeable number, because it can be changed into a prime (66083) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2742 + ... + 2765.

It is an arithmetic number, because the mean of its divisors is an integer number (12852).

2⁶⁶⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

66084 is an abundant number, since it is smaller than the sum of its proper divisors (88140).

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 (77112).

66084 is a wasteful number, since it uses less digits than its factorization.

66084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5514 (or 5512 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 66084 is about 257.0680843668. The cubic root of 66084 is about 40.4295375925.

The spelling of 66084 in words is "sixty-six thousand, eighty-four".