10822144 has 40 divisors (see below), whose sum is σ = 22587840. Its totient is φ = 5170176.

The previous prime is 10822129. The next prime is 10822199. The reversal of 10822144 is 44122801.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11317 + ... + 12235.

It is an arithmetic number, because the mean of its divisors is an integer number (564696).

Almost surely, 2^10822144 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 10822144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11293920).

10822144 is an abundant number, since it is smaller than the sum of its proper divisors (11765696).

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

10822144 is an frugal number, since it uses more digits than its factorization.

10822144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 10822144 is about 3289.7027221316. The cubic root of 10822144 is about 221.1928593649.

Adding to 10822144 its reverse (44122801), we get a palindrome (54944945).

The spelling of 10822144 in words is "ten million, eight hundred twenty-two thousand, one hundred forty-four".