44064 has 60 divisors (see below), whose sum is σ = 137214. Its totient is φ = 13824.

The previous prime is 44059. The next prime is 44071. The reversal of 44064 is 46044.

44064 = 4³ + 5³ + ... + 20³.

It can be written as a sum of positive squares in only one way, i.e., 32400 + 11664 = 180^2 + 108^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is a nialpdrome in base 6 and base 9.

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 44064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2584 + ... + 2600.

2⁴⁴⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68607).

44064 is an abundant number, since it is smaller than the sum of its proper divisors (93150).

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

44064 is a wasteful number, since it uses less digits than its factorization.

44064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 44064 is about 209.9142682144. The cubic root of 44064 is about 35.3205919013.

The spelling of 44064 in words is "forty-four thousand, sixty-four", and thus it is an eban number.