218268000 has 384 divisors, whose sum is σ = 830269440. Its totient is φ = 55641600.

The previous prime is 218267971. The next prime is 218268013. The reversal of 218268000 is 862812.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4643977 + ... + 4644023.

It is an arithmetic number, because the mean of its divisors is an integer number (2162160).

Almost surely, 2^218268000 is an apocalyptic number.

218268000 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 218268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415134720).

218268000 is an abundant number, since it is smaller than the sum of its proper divisors (612001440).

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

218268000 is a wasteful number, since it uses less digits than its factorization.

218268000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 218268000 is about 14773.8958978328. The cubic root of 218268000 is about 602.0926925772.

The spelling of 218268000 in words is "two hundred eighteen million, two hundred sixty-eight thousand".