218116560 has 40 divisors (see below), whose sum is σ = 676162080. Its totient is φ = 58164352.

The previous prime is 218116513. The next prime is 218116573. The reversal of 218116560 is 65611812.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 454170 + ... + 454649.

It is an arithmetic number, because the mean of its divisors is an integer number (16904052).

Almost surely, 2^218116560 is an apocalyptic number.

218116560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

218116560 is an abundant number, since it is smaller than the sum of its proper divisors (458045520).

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

218116560 is a wasteful number, since it uses less digits than its factorization.

218116560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908835 (or 908829 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 218116560 is about 14768.7697524201. The cubic root of 218116560 is about 601.9534111840.

The spelling of 218116560 in words is "two hundred eighteen million, one hundred sixteen thousand, five hundred sixty".