218378160 has 640 divisors, whose sum is σ = 1019934720. Its totient is φ = 41472000.

The previous prime is 218378159. The next prime is 218378161. The reversal of 218378160 is 61873812.

It is an interprime number because it is at equal distance from previous prime (218378159) and next prime (218378161).

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

It is not an unprimeable number, because it can be changed into a prime (218378161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2162110 + ... + 2162210.

It is an arithmetic number, because the mean of its divisors is an integer number (1593648).

Almost surely, 2^218378160 is an apocalyptic number.

218378160 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 218378160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509967360).

218378160 is an abundant number, since it is smaller than the sum of its proper divisors (801556560).

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

218378160 is a wasteful number, since it uses less digits than its factorization.

218378160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 218378160 is about 14777.6236249270. The cubic root of 218378160 is about 602.1939677309.

The spelling of 218378160 in words is "two hundred eighteen million, three hundred seventy-eight thousand, one hundred sixty".