44085760 has 80 divisors (see below), whose sum is σ = 112030776. Its totient is φ = 16580608.

The previous prime is 44085739. The next prime is 44085761. The reversal of 44085760 is 6758044.

It can be written as a sum of positive squares in 4 ways, for example, as 26378496 + 17707264 = 5136^2 + 4208^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (44085761) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 43014 + ... + 44026.

Almost surely, 2^44085760 is an apocalyptic number.

44085760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56015388).

44085760 is an abundant number, since it is smaller than the sum of its proper divisors (67945016).

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

44085760 is a wasteful number, since it uses less digits than its factorization.

44085760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 44085760 is about 6639.7108370772. The cubic root of 44085760 is about 353.2640503371.

The spelling of 44085760 in words is "forty-four million, eighty-five thousand, seven hundred sixty".