18421200 has 360 divisors, whose sum is σ = 79155648. Its totient is φ = 3870720.

The previous prime is 18421129. The next prime is 18421201. The reversal of 18421200 is 212481.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18421201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 428379 + ... + 428421.

Almost surely, 2^18421200 is an apocalyptic number.

18421200 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 18421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39577824).

18421200 is an abundant number, since it is smaller than the sum of its proper divisors (60734448).

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

18421200 is a wasteful number, since it uses less digits than its factorization.

18421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 18421200 is about 4291.9925442619. The cubic root of 18421200 is about 264.1025772183.

Adding to 18421200 its reverse (212481), we get a palindrome (18633681).

The spelling of 18421200 in words is "eighteen million, four hundred twenty-one thousand, two hundred".