10809344 has 104 divisors (see below), whose sum is σ = 27521760. Its totient is φ = 4128768.

The previous prime is 10809343. The next prime is 10809349. The reversal of 10809344 is 44390801.

It is a tau number, because it is divible by the number of its divisors (104).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10809343) 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 7 ways as a sum of consecutive naturals, for example, 372722 + ... + 372750.

Almost surely, 2^10809344 is an apocalyptic number.

10809344 is a gapful number since it is divisible by the number (14) 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 10809344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13760880).

10809344 is an abundant number, since it is smaller than the sum of its proper divisors (16712416).

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

10809344 is an equidigital number, since it uses as much as digits as its factorization.

10809344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 10809344 is about 3287.7566819946. The cubic root of 10809344 is about 221.1056189323.

The spelling of 10809344 in words is "ten million, eight hundred nine thousand, three hundred forty-four".