10844496 has 80 divisors (see below), whose sum is σ = 33539520. Its totient is φ = 3335040.

The previous prime is 10844473. The next prime is 10844501. The reversal of 10844496 is 69444801.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10844496.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 4651 + ... + 6581.

It is an arithmetic number, because the mean of its divisors is an integer number (419244).

Almost surely, 2^10844496 is an apocalyptic number.

10844496 is a gapful number since it is divisible by the number (16) 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 10844496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16769760).

10844496 is an abundant number, since it is smaller than the sum of its proper divisors (22695024).

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

10844496 is a wasteful number, since it uses less digits than its factorization.

10844496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 10844496 is about 3293.0982372228. The cubic root of 10844496 is about 221.3450381707.

The spelling of 10844496 in words is "ten million, eight hundred forty-four thousand, four hundred ninety-six".