218934960 has 80 divisors (see below), whose sum is σ = 682750944. Its totient is φ = 58034176.

The previous prime is 218934931. The next prime is 218934971. The reversal of 218934960 is 69439812.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38884 + ... + 44156.

Almost surely, 2^218934960 is an apocalyptic number.

218934960 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 218934960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341375472).

218934960 is an abundant number, since it is smaller than the sum of its proper divisors (463815984).

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

218934960 is a wasteful number, since it uses less digits than its factorization.

218934960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5462 (or 5456 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 218934960 is about 14796.4509258133. The cubic root of 218934960 is about 602.7053391226.

The spelling of 218934960 in words is "two hundred eighteen million, nine hundred thirty-four thousand, nine hundred sixty".