1844000 has 48 divisors (see below), whose sum is σ = 4540536. Its totient is φ = 736000.

The previous prime is 1843999. The next prime is 1844021. The reversal of 1844000 is 4481.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 394384 + 1449616 = 628^2 + 1204^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1844000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3770 + ... + 4230.

2^1844000 is an apocalyptic number.

1844000 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 1844000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2270268).

1844000 is an abundant number, since it is smaller than the sum of its proper divisors (2696536).

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

1844000 is an equidigital number, since it uses as much as digits as its factorization.

1844000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 468 counting only the distinct ones).

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

The square root of 1844000 is about 1357.9396157414. The cubic root of 1844000 is about 122.6272452615.

Adding to 1844000 its reverse (4481), we get a palindrome (1848481).

The spelling of 1844000 in words is "one million, eight hundred forty-four thousand".