1811872 has 24 divisors (see below), whose sum is σ = 3656772. Its totient is φ = 883200.

The previous prime is 1811867. The next prime is 1811893. The reversal of 1811872 is 2781181.

It can be written as a sum of positive squares in 2 ways, for example, as 1648656 + 163216 = 1284^2 + 404^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1811872.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 622 + ... + 2002.

2^1811872 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 1811872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828386).

1811872 is an abundant number, since it is smaller than the sum of its proper divisors (1844900).

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

1811872 is a wasteful number, since it uses less digits than its factorization.

1811872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1424 counting only the distinct ones).

The product of its digits is 896, while the sum is 28.

The square root of 1811872 is about 1346.0579482325. The cubic root of 1811872 is about 121.9108907664.

The spelling of 1811872 in words is "one million, eight hundred eleven thousand, eight hundred seventy-two".