218880000 has 360 divisors, whose sum is σ = 831530700. Its totient is φ = 55296000.

The previous prime is 218879989. The next prime is 218880001. The reversal of 218880000 is 88812.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218880001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11519991 + ... + 11520009.

Almost surely, 2^218880000 is an apocalyptic number.

218880000 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 218880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415765350).

218880000 is an abundant number, since it is smaller than the sum of its proper divisors (612650700).

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

218880000 is an equidigital number, since it uses as much as digits as its factorization.

218880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 29 counting only the distinct ones).

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

The square root of 218880000 is about 14794.5936071255. The cubic root of 218880000 is about 602.6549018335.

The spelling of 218880000 in words is "two hundred eighteen million, eight hundred eighty thousand".