66996 has 18 divisors (see below), whose sum is σ = 169442. Its totient is φ = 22320.

The previous prime is 66977. The next prime is 67003. The reversal of 66996 is 69966.

It can be written as a sum of positive squares in only one way, i.e., 34596 + 32400 = 186^2 + 180^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 1861 = 66996 / (6 + 6 + 9 + 9 + 6).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 66996.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 66996.

It is an unprimeable number.

66996 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 895 + ... + 966.

2⁶⁶⁹⁹⁶ is an apocalyptic number.

It is an amenable number.

66996 is an abundant number, since it is smaller than the sum of its proper divisors (102446).

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

66996 is a wasteful number, since it uses less digits than its factorization.

66996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871 (or 1866 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 66996 is about 258.8358553215. The cubic root of 66996 is about 40.6146727201.

The spelling of 66996 in words is "sixty-six thousand, nine hundred ninety-six".