218278080 has 168 divisors, whose sum is σ = 790498800. Its totient is φ = 55130112.

The previous prime is 218278063. The next prime is 218278087. The reversal of 218278080 is 80872812.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (218278087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52726 + ... + 56714.

It is an arithmetic number, because the mean of its divisors is an integer number (4705350).

Almost surely, 2^218278080 is an apocalyptic number.

218278080 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 218278080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395249400).

218278080 is an abundant number, since it is smaller than the sum of its proper divisors (572220720).

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

218278080 is a wasteful number, since it uses less digits than its factorization.

218278080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4031 (or 4018 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 218278080 is about 14774.2370361383. The cubic root of 218278080 is about 602.1019610009.

The spelling of 218278080 in words is "two hundred eighteen million, two hundred seventy-eight thousand, eighty".