218160864 has 120 divisors (see below), whose sum is σ = 679483728. Its totient is φ = 68428800.

The previous prime is 218160853. The next prime is 218160889. The reversal of 218160864 is 468061812.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41589 + ... + 46539.

Almost surely, 2^218160864 is an apocalyptic number.

218160864 is a gapful number since it is divisible by the number (24) 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 218160864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339741864).

218160864 is an abundant number, since it is smaller than the sum of its proper divisors (461322864).

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

218160864 is a wasteful number, since it uses less digits than its factorization.

218160864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4990 (or 4973 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 218160864 is about 14770.2695980811. The cubic root of 218160864 is about 601.9941648349.

It can be divided in two parts, 218160 and 864, that added together give a square (219024 = 468²).

The spelling of 218160864 in words is "two hundred eighteen million, one hundred sixty thousand, eight hundred sixty-four".