218416 has 40 divisors (see below), whose sum is σ = 495504. Its totient is φ = 92160.

The previous prime is 218401. The next prime is 218417. The reversal of 218416 is 614812.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (218417) by changing a digit.

218416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2956 + ... + 3028.

2²¹⁸⁴¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 218416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247752).

218416 is an abundant number, since it is smaller than the sum of its proper divisors (277088).

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

218416 is a wasteful number, since it uses less digits than its factorization.

218416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 103 counting only the distinct ones).

The product of its digits is 384, while the sum is 22.

The square root of 218416 is about 467.3499759281. The cubic root of 218416 is about 60.2228747924. Note that the first 3 decimals are identical.

The spelling of 218416 in words is "two hundred eighteen thousand, four hundred sixteen".