18006400 has 96 divisors (see below), whose sum is σ = 47240280. Its totient is φ = 6758400.

The previous prime is 18006389. The next prime is 18006413. The reversal of 18006400 is 460081.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 54235 + ... + 54565.

Almost surely, 2^18006400 is an apocalyptic number.

18006400 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 18006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23620140).

18006400 is an abundant number, since it is smaller than the sum of its proper divisors (29233880).

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

18006400 is a wasteful number, since it uses less digits than its factorization.

18006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 355 counting only the distinct ones).

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

The square root of 18006400 is about 4243.3948673203. The cubic root of 18006400 is about 262.1051963791.

Adding to 18006400 its reverse (460081), we get a palindrome (18466481).

The spelling of 18006400 in words is "eighteen million, six thousand, four hundred".