1818144 has 72 divisors (see below), whose sum is σ = 5307120. Its totient is φ = 590208.

The previous prime is 1818109. The next prime is 1818151. The reversal of 1818144 is 4418181.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

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 11 ways as a sum of consecutive naturals, for example, 16939 + ... + 17045.

It is an arithmetic number, because the mean of its divisors is an integer number (73710).

2^1818144 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 1818144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2653560).

1818144 is an abundant number, since it is smaller than the sum of its proper divisors (3488976).

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

1818144 is a wasteful number, since it uses less digits than its factorization.

1818144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 171 counting only the distinct ones).

The product of its digits is 1024, while the sum is 27.

The square root of 1818144 is about 1348.3857014964. The cubic root of 1818144 is about 122.0513982123.

It can be divided in two parts, 18181 and 44, that added together give a square (18225 = 135²).

The spelling of 1818144 in words is "one million, eight hundred eighteen thousand, one hundred forty-four".