1813824 has 84 divisors (see below), whose sum is σ = 5388864. Its totient is φ = 582912.

The previous prime is 1813817. The next prime is 1813829. The reversal of 1813824 is 4283181.

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 (1813829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27039 + ... + 27105.

2^1813824 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 1813824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694432).

1813824 is an abundant number, since it is smaller than the sum of its proper divisors (3575040).

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

1813824 is a wasteful number, since it uses less digits than its factorization.

1813824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 119 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 1813824 is about 1346.7828332734. The cubic root of 1813824 is about 121.9546548314.

It can be divided in two parts, 181 and 3824, that added together give a triangular number (4005 = T₈₉).

The spelling of 1813824 in words is "one million, eight hundred thirteen thousand, eight hundred twenty-four".