66984 has 16 divisors (see below), whose sum is σ = 167520. Its totient is φ = 22320.

The previous prime is 66977. The next prime is 67003. The reversal of 66984 is 48966.

It is an unprimeable number.

66984 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 3 ways as a sum of consecutive naturals, for example, 1372 + ... + 1419.

It is an arithmetic number, because the mean of its divisors is an integer number (10470).

2⁶⁶⁹⁸⁴ is an apocalyptic number.

It is an amenable number.

66984 is an abundant number, since it is smaller than the sum of its proper divisors (100536).

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 (83760).

66984 is a wasteful number, since it uses less digits than its factorization.

66984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2800 (or 2796 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 66984 is about 258.8126735691. The cubic root of 66984 is about 40.6122476739.

Subtracting from 66984 its product of digits (10368), we obtain a triangular number (56616 = T₃₃₆).

The spelling of 66984 in words is "sixty-six thousand, nine hundred eighty-four".