18013600 has 144 divisors (see below), whose sum is σ = 50621760. Its totient is φ = 6195200.

The previous prime is 18013559. The next prime is 18013601. The reversal of 18013600 is 631081.

It is not an unprimeable number, because it can be changed into a prime (18013601) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 202356 + ... + 202444.

It is an arithmetic number, because the mean of its divisors is an integer number (351540).

Almost surely, 2^18013600 is an apocalyptic number.

18013600 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 18013600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25310880).

18013600 is an abundant number, since it is smaller than the sum of its proper divisors (32608160).

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

18013600 is a wasteful number, since it uses less digits than its factorization.

18013600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 18013600 is about 4244.2431598578. The cubic root of 18013600 is about 262.1401266620.

Adding to 18013600 its reverse (631081), we get a palindrome (18644681).

The spelling of 18013600 in words is "eighteen million, thirteen thousand, six hundred".