218051680 has 144 divisors (see below), whose sum is σ = 647529120. Its totient is φ = 67921920.

The previous prime is 218051671. The next prime is 218051681. The reversal of 218051680 is 86150812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218051681) 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, 134716 + ... + 136324.

It is an arithmetic number, because the mean of its divisors is an integer number (4496730).

Almost surely, 2^218051680 is an apocalyptic number.

218051680 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 218051680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323764560).

218051680 is an abundant number, since it is smaller than the sum of its proper divisors (429477440).

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

218051680 is a wasteful number, since it uses less digits than its factorization.

218051680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 31.

The square root of 218051680 is about 14766.5730621563. The cubic root of 218051680 is about 601.8937204536.

The spelling of 218051680 in words is "two hundred eighteen million, fifty-one thousand, six hundred eighty".