218952960 has 144 divisors (see below), whose sum is σ = 736330560. Its totient is φ = 55296000.

The previous prime is 218952917. The next prime is 218952961. The reversal of 218952960 is 69259812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218952961) 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 15 ways as a sum of consecutive naturals, for example, 71460 + ... + 74460.

Almost surely, 2^218952960 is an apocalyptic number.

218952960 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 218952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368165280).

218952960 is an abundant number, since it is smaller than the sum of its proper divisors (517377600).

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

218952960 is a wasteful number, since it uses less digits than its factorization.

218952960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3044 (or 3030 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 218952960 is about 14797.0591672805. The cubic root of 218952960 is about 602.7218560504.

It can be divided in two parts, 218952 and 960, that added together give a palindrome (219912).

The spelling of 218952960 in words is "two hundred eighteen million, nine hundred fifty-two thousand, nine hundred sixty".