44507664 has 80 divisors (see below), whose sum is σ = 128563200. Its totient is φ = 14742144.

The previous prime is 44507657. The next prime is 44507669. The reversal of 44507664 is 46670544.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (44507669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116017 + ... + 116399.

It is an arithmetic number, because the mean of its divisors is an integer number (1607040).

Almost surely, 2^44507664 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 44507664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64281600).

44507664 is an abundant number, since it is smaller than the sum of its proper divisors (84055536).

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

44507664 is a wasteful number, since it uses less digits than its factorization.

44507664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 44507664 is about 6671.4064484185. The cubic root of 44507664 is about 354.3873954960.

The spelling of 44507664 in words is "forty-four million, five hundred seven thousand, six hundred sixty-four".