1823800 has 48 divisors (see below), whose sum is σ = 4631400. Its totient is φ = 662400.

The previous prime is 1823797. The next prime is 1823813. The reversal of 1823800 is 83281.

1823800 = 258² + 259² + ... + 282².

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 1786 + ... + 2614.

2^1823800 is an apocalyptic number.

1823800 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 1823800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315700).

1823800 is an abundant number, since it is smaller than the sum of its proper divisors (2807600).

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

1823800 is a wasteful number, since it uses less digits than its factorization.

1823800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 1823800 is about 1350.4813956512. The cubic root of 1823800 is about 122.1778289954.

The spelling of 1823800 in words is "one million, eight hundred twenty-three thousand, eight hundred".