1813024 has 24 divisors (see below), whose sum is σ = 3640140. Its totient is φ = 888576.

The previous prime is 1813003. The next prime is 1813039. The reversal of 1813024 is 4203181.

It can be written as a sum of positive squares in 2 ways, for example, as 1795600 + 17424 = 1340^2 + 132^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1812992 and 1813010.

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, 1162 + ... + 2230.

2^1813024 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 1813024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820070).

1813024 is an abundant number, since it is smaller than the sum of its proper divisors (1827116).

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

1813024 is a wasteful number, since it uses less digits than its factorization.

1813024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1813024 is about 1346.4857964346. The cubic root of 1813024 is about 121.9367225382.

It can be divided in two parts, 18 and 13024, that multiplied together give a palindrome (234432).

The spelling of 1813024 in words is "one million, eight hundred thirteen thousand, twenty-four".