214108416 has 216 divisors, whose sum is σ = 668551520. Its totient is φ = 65691648.

The previous prime is 214108409. The next prime is 214108417. The reversal of 214108416 is 614801412.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 214108416.

It is not an unprimeable number, because it can be changed into a prime (214108417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2932956 + ... + 2933028.

Almost surely, 2^214108416 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 214108416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334275760).

214108416 is an abundant number, since it is smaller than the sum of its proper divisors (454443104).

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

214108416 is a wasteful number, since it uses less digits than its factorization.

214108416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 214108416 is about 14632.4439517122. The cubic root of 214108416 is about 598.2433955870.

Adding to 214108416 its reverse (614801412), we get a palindrome (828909828).

The spelling of 214108416 in words is "two hundred fourteen million, one hundred eight thousand, four hundred sixteen".