16281216 has 128 divisors (see below), whose sum is σ = 54998400. Its totient is φ = 4644864.

The previous prime is 16281191. The next prime is 16281247. The reversal of 16281216 is 61218261.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 16281216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23856 + ... + 24528.

It is an arithmetic number, because the mean of its divisors is an integer number (429675).

Almost surely, 2^16281216 is an apocalyptic number.

16281216 is a gapful number since it is divisible by the number (16) 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 16281216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27499200).

16281216 is an abundant number, since it is smaller than the sum of its proper divisors (38717184).

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

16281216 is an equidigital number, since it uses as much as digits as its factorization.

16281216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 685 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 16281216 is about 4034.9988847582. The cubic root of 16281216 is about 253.4519358474.

Adding to 16281216 its reverse (61218261), we get a palindrome (77499477).

The spelling of 16281216 in words is "sixteen million, two hundred eighty-one thousand, two hundred sixteen".