44066880 has 336 divisors, whose sum is σ = 179734464. Its totient is φ = 9768960.

The previous prime is 44066879. The next prime is 44066881. The reversal of 44066880 is 8866044.

It is an interprime number because it is at equal distance from previous prime (44066879) and next prime (44066881).

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 (44066881) 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 47 ways as a sum of consecutive naturals, for example, 411787 + ... + 411893.

It is an arithmetic number, because the mean of its divisors is an integer number (534924).

Almost surely, 2^44066880 is an apocalyptic number.

44066880 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 44066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89867232).

44066880 is an abundant number, since it is smaller than the sum of its proper divisors (135667584).

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

44066880 is a wasteful number, since it uses less digits than its factorization.

44066880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 44066880 is about 6638.2889361642. The cubic root of 44066880 is about 353.2136139634.

The spelling of 44066880 in words is "forty-four million, sixty-six thousand, eight hundred eighty".