66036 has 12 divisors (see below), whose sum is σ = 154112. Its totient is φ = 22008.

The previous prime is 66029. The next prime is 66037. The reversal of 66036 is 63066.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66037) by changing a digit.

66036 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 3 ways as a sum of consecutive naturals, for example, 2740 + ... + 2763.

2⁶⁶⁰³⁶ is an apocalyptic number.

It is an amenable number.

66036 is an abundant number, since it is smaller than the sum of its proper divisors (88076).

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 (77056).

66036 is a wasteful number, since it uses less digits than its factorization.

66036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5510 (or 5508 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 66036 is about 256.9747069266. The cubic root of 66036 is about 40.4197465798.

It can be divided in two parts, 660 and 36, that added together give a palindrome (696).

The spelling of 66036 in words is "sixty-six thousand, thirty-six", and thus it is an eban number.