81441344 has 56 divisors (see below), whose sum is σ = 171590208. Its totient is φ = 38269440.

The previous prime is 81441313. The next prime is 81441361. The reversal of 81441344 is 44314418.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89339 + ... + 90245.

Almost surely, 2^81441344 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 81441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85795104).

81441344 is an abundant number, since it is smaller than the sum of its proper divisors (90148864).

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

81441344 is a wasteful number, since it uses less digits than its factorization.

81441344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 993 counting only the distinct ones).

The product of its digits is 6144, while the sum is 29.

The square root of 81441344 is about 9024.4858025264. The cubic root of 81441344 is about 433.4592854124.

The spelling of 81441344 in words is "eighty-one million, four hundred forty-one thousand, three hundred forty-four".