66044 has 24 divisors (see below), whose sum is σ = 134400. Its totient is φ = 28080.

The previous prime is 66041. The next prime is 66047. The reversal of 66044 is 44066.

It is an interprime number because it is at equal distance from previous prime (66041) and next prime (66047).

It is a d-powerful number, because it can be written as 6² + 6³ + 0 + 4⁴ + 4⁸ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 797 + ... + 875.

It is an arithmetic number, because the mean of its divisors is an integer number (5600).

2⁶⁶⁰⁴⁴ is an apocalyptic number.

It is an amenable number.

66044 is an abundant number, since it is smaller than the sum of its proper divisors (68356).

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 (67200).

66044 is a wasteful number, since it uses less digits than its factorization.

66044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 66044 is about 256.9902721894. The cubic root of 66044 is about 40.4213787447.

The spelling of 66044 in words is "sixty-six thousand, forty-four", and thus it is an eban number.