1842144 has 48 divisors (see below), whose sum is σ = 4999680. Its totient is φ = 593280.

The previous prime is 1842133. The next prime is 1842151. The reversal of 1842144 is 4412481.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2667 + ... + 3285.

It is an arithmetic number, because the mean of its divisors is an integer number (104160).

2^1842144 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 1842144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499840).

1842144 is an abundant number, since it is smaller than the sum of its proper divisors (3157536).

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

1842144 is a wasteful number, since it uses less digits than its factorization.

1842144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 655 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 1842144 is about 1357.2560554295. The cubic root of 1842144 is about 122.5860896995.

The spelling of 1842144 in words is "one million, eight hundred forty-two thousand, one hundred forty-four".