18274200 has 192 divisors, whose sum is σ = 68448000. Its totient is φ = 3939840.

The previous prime is 18274199. The next prime is 18274229. The reversal of 18274200 is 247281.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79686 + ... + 79914.

It is an arithmetic number, because the mean of its divisors is an integer number (356500).

Almost surely, 2^18274200 is an apocalyptic number.

18274200 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 18274200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34224000).

18274200 is an abundant number, since it is smaller than the sum of its proper divisors (50173800).

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

18274200 is a wasteful number, since it uses less digits than its factorization.

18274200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 18274200 is about 4274.8333300843. The cubic root of 18274200 is about 263.3981930001.

The spelling of 18274200 in words is "eighteen million, two hundred seventy-four thousand, two hundred".