1813200 has 60 divisors (see below), whose sum is σ = 5812128. Its totient is φ = 483200.

The previous prime is 1813177. The next prime is 1813211. The reversal of 1813200 is 23181.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 1813200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 445 + ... + 1955.

2^1813200 is an apocalyptic number.

1813200 is a gapful number since it is divisible by the number (10) 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 1813200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906064).

1813200 is an abundant number, since it is smaller than the sum of its proper divisors (3998928).

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

1813200 is a wasteful number, since it uses less digits than its factorization.

1813200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1813200 is about 1346.5511501610. The cubic root of 1813200 is about 121.9406680952.

Adding to 1813200 its reverse (23181), we get a palindrome (1836381).

The spelling of 1813200 in words is "one million, eight hundred thirteen thousand, two hundred".