1838144 has 56 divisors (see below), whose sum is σ = 4559808. Its totient is φ = 714240.

The previous prime is 1838143. The next prime is 1838167. The reversal of 1838144 is 4418381.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (1838141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4742 + ... + 5114.

2^1838144 is an apocalyptic number.

1838144 is a gapful number since it is divisible by the number (14) 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 1838144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279904).

1838144 is an abundant number, since it is smaller than the sum of its proper divisors (2721664).

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

1838144 is a wasteful number, since it uses less digits than its factorization.

1838144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 393 counting only the distinct ones).

The product of its digits is 3072, while the sum is 29.

The square root of 1838144 is about 1355.7816933415. The cubic root of 1838144 is about 122.4972982883.

The spelling of 1838144 in words is "one million, eight hundred thirty-eight thousand, one hundred forty-four".