18013200 has 120 divisors (see below), whose sum is σ = 61165728. Its totient is φ = 4515840.

The previous prime is 18013199. The next prime is 18013207. The reversal of 18013200 is 231081.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a self number, because there is not a number n which added to its sum of digits gives 18013200.

It is not an unprimeable number, because it can be changed into a prime (18013207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19959 + ... + 20841.

Almost surely, 2^18013200 is an apocalyptic number.

18013200 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 18013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30582864).

18013200 is an abundant number, since it is smaller than the sum of its proper divisors (43152528).

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

18013200 is a wasteful number, since it uses less digits than its factorization.

18013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 910 counting only the distinct ones).

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

The square root of 18013200 is about 4244.1960369427. The cubic root of 18013200 is about 262.1381863349.

Adding to 18013200 its reverse (231081), we get a palindrome (18244281).

The spelling of 18013200 in words is "eighteen million, thirteen thousand, two hundred".