218059920 has 120 divisors (see below), whose sum is σ = 788683896. Its totient is φ = 53673984.

The previous prime is 218059913. The next prime is 218059937. The reversal of 218059920 is 29950812.

It can be written as a sum of positive squares in 4 ways, for example, as 2322576 + 215737344 = 1524^2 + 14688^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2289 + ... + 21008.

Almost surely, 2^218059920 is an apocalyptic number.

218059920 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 218059920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394341948).

218059920 is an abundant number, since it is smaller than the sum of its proper divisors (570623976).

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

218059920 is a wasteful number, since it uses less digits than its factorization.

218059920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23329 (or 23320 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 218059920 is about 14766.8520680611. The cubic root of 218059920 is about 601.9013020535.

The spelling of 218059920 in words is "two hundred eighteen million, fifty-nine thousand, nine hundred twenty".