10844000 has 48 divisors (see below), whose sum is σ = 26653536. Its totient is φ = 4336000.

The previous prime is 10843993. The next prime is 10844039. The reversal of 10844000 is 44801.

It is a happy number.

10844000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10844000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2645 + ... + 5355.

It is an arithmetic number, because the mean of its divisors is an integer number (555282).

Almost surely, 2^10844000 is an apocalyptic number.

10844000 is a gapful number since it is divisible by the number (10) 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 10844000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13326768).

10844000 is an abundant number, since it is smaller than the sum of its proper divisors (15809536).

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

10844000 is an equidigital number, since it uses as much as digits as its factorization.

10844000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2736 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 10844000 is about 3293.0229273420. The cubic root of 10844000 is about 221.3416635306.

Adding to 10844000 its reverse (44801), we get a palindrome (10888801).

The spelling of 10844000 in words is "ten million, eight hundred forty-four thousand".