218808000 has 224 divisors, whose sum is σ = 803574720. Its totient is φ = 58291200.

The previous prime is 218807999. The next prime is 218808011. The reversal of 218808000 is 808812.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 215494 + ... + 216506.

Almost surely, 2^218808000 is an apocalyptic number.

218808000 is a gapful number since it is divisible by the number (20) 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 218808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401787360).

218808000 is an abundant number, since it is smaller than the sum of its proper divisors (584766720).

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

218808000 is a wasteful number, since it uses less digits than its factorization.

218808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 218808000 is about 14792.1600856670. The cubic root of 218808000 is about 602.5888140051.

The spelling of 218808000 in words is "two hundred eighteen million, eight hundred eight thousand".