817081344 has 110 divisors (see below), whose sum is σ = 2440212324. Its totient is φ = 272332800.

The previous prime is 817081327. The next prime is 817081357. The reversal of 817081344 is 443180718.

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 = 817081299 and 817081308.

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 9 ways as a sum of consecutive naturals, for example, 78019 + ... + 87869.

Almost surely, 2^817081344 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 817081344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220106162).

817081344 is an abundant number, since it is smaller than the sum of its proper divisors (1623130980).

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

817081344 is an equidigital number, since it uses as much as digits as its factorization.

817081344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9883 (or 9856 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 817081344 is about 28584.6347536574. The cubic root of 817081344 is about 934.8783408105.

The spelling of 817081344 in words is "eight hundred seventeen million, eighty-one thousand, three hundred forty-four".