218317680 has 200 divisors, whose sum is σ = 866751072. Its totient is φ = 49890816.

The previous prime is 218317663. The next prime is 218317681. The reversal of 218317680 is 86713812.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218317681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42954 + ... + 47766.

Almost surely, 2^218317680 is an apocalyptic number.

218317680 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 218317680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433375536).

218317680 is an abundant number, since it is smaller than the sum of its proper divisors (648433392).

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

218317680 is a wasteful number, since it uses less digits than its factorization.

218317680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4845 (or 4830 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 218317680 is about 14775.5771460881. The cubic root of 218317680 is about 602.1383699033.

The spelling of 218317680 in words is "two hundred eighteen million, three hundred seventeen thousand, six hundred eighty".