1806400 has 42 divisors (see below), whose sum is σ = 4448810. Its totient is φ = 721920.

The previous prime is 1806383. The next prime is 1806407. The reversal of 1806400 is 46081.

1806400 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 3 ways, for example, as 64 + 1806336 = 8^2 + 1344^2 .

It is not an unprimeable number, because it can be changed into a prime (1806407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1036 + ... + 2164.

2^1806400 is an apocalyptic number.

1806400 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 1806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2224405).

1806400 is an abundant number, since it is smaller than the sum of its proper divisors (2642410).

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

1806400 is a wasteful number, since it uses less digits than its factorization.

1806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1136 counting only the distinct ones).

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

The square root of 1806400 is about 1344.0238093129. The cubic root of 1806400 is about 121.7880400932.

The spelling of 1806400 in words is "one million, eight hundred six thousand, four hundred".