81097344 has 192 divisors, whose sum is σ = 255626280. Its totient is φ = 24576000.

The previous prime is 81097337. The next prime is 81097349. The reversal of 81097344 is 44379018.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 76737600 + 4359744 = 8760^2 + 2088^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 81097299 and 81097308.

It is not an unprimeable number, because it can be changed into a prime (81097349) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 802894 + ... + 802994.

Almost surely, 2^81097344 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 81097344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127813140).

81097344 is an abundant number, since it is smaller than the sum of its proper divisors (174528936).

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

81097344 is a wasteful number, since it uses less digits than its factorization.

81097344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 81097344 is about 9005.4063761720. The cubic root of 81097344 is about 432.8481280537.

The spelling of 81097344 in words is "eighty-one million, ninety-seven thousand, three hundred forty-four".