44864064 has 112 divisors (see below), whose sum is σ = 150774400. Its totient is φ = 12814848.

The previous prime is 44864033. The next prime is 44864087. The reversal of 44864064 is 46046844.

44864064 is a `hidden beast` number, since 4 + 4 + 8 + 640 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10242 + ... + 13950.

It is an arithmetic number, because the mean of its divisors is an integer number (1346200).

Almost surely, 2^44864064 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 44864064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75387200).

44864064 is an abundant number, since it is smaller than the sum of its proper divisors (105910336).

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

44864064 is a wasteful number, since it uses less digits than its factorization.

44864064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3737 (or 3721 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 44864064 is about 6698.0641979605. The cubic root of 44864064 is about 355.3308137608.

The spelling of 44864064 in words is "forty-four million, eight hundred sixty-four thousand, sixty-four".