1822144 has 28 divisors (see below), whose sum is σ = 3675888. Its totient is φ = 896000.

The previous prime is 1822123. The next prime is 1822147. The reversal of 1822144 is 4412281.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1822147) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 4344 + ... + 4744.

2^1822144 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 1822144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837944).

1822144 is an abundant number, since it is smaller than the sum of its proper divisors (1853744).

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

1822144 is an equidigital number, since it uses as much as digits as its factorization.

1822144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 474 counting only the distinct ones).

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

The square root of 1822144 is about 1349.8681417087. The cubic root of 1822144 is about 122.1408388735.

The spelling of 1822144 in words is "one million, eight hundred twenty-two thousand, one hundred forty-four".