44006688 has 144 divisors (see below), whose sum is σ = 141523200. Its totient is φ = 12848640.

The previous prime is 44006623. The next prime is 44006689. The reversal of 44006688 is 88660044.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (44006689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91633 + ... + 92111.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 2^44006688 is an apocalyptic number.

44006688 is a gapful number since it is divisible by the number (48) 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 44006688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70761600).

44006688 is an abundant number, since it is smaller than the sum of its proper divisors (97516512).

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

44006688 is a wasteful number, since it uses less digits than its factorization.

44006688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 524 counting only the distinct ones).

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

The square root of 44006688 is about 6633.7536885236. The cubic root of 44006688 is about 353.0527197246.

The spelling of 44006688 in words is "forty-four million, six thousand, six hundred eighty-eight".