218982960 has 240 divisors, whose sum is σ = 877845600. Its totient is φ = 50029056.

The previous prime is 218982949. The next prime is 218982971. The reversal of 218982960 is 69289812.

It is an interprime number because it is at equal distance from previous prime (218982949) and next prime (218982971).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104806 + ... + 106874.

It is an arithmetic number, because the mean of its divisors is an integer number (3657690).

Almost surely, 2^218982960 is an apocalyptic number.

218982960 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 218982960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438922800).

218982960 is an abundant number, since it is smaller than the sum of its proper divisors (658862640).

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

218982960 is a wasteful number, since it uses less digits than its factorization.

218982960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2105 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 218982960 is about 14798.0728475028. The cubic root of 218982960 is about 602.7493822520.

The spelling of 218982960 in words is "two hundred eighteen million, nine hundred eighty-two thousand, nine hundred sixty".