16005216 has 48 divisors (see below), whose sum is σ = 43470000. Its totient is φ = 5150208.

The previous prime is 16005193. The next prime is 16005221. The reversal of 16005216 is 61250061.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 16005192 and 16005201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91 + ... + 5658.

It is an arithmetic number, because the mean of its divisors is an integer number (905625).

Almost surely, 2^16005216 is an apocalyptic number.

16005216 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 16005216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21735000).

16005216 is an abundant number, since it is smaller than the sum of its proper divisors (27464784).

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

16005216 is a wasteful number, since it uses less digits than its factorization.

16005216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5791 (or 5783 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 16005216 is about 4000.6519468707. The cubic root of 16005216 is about 252.0115892881.

Adding to 16005216 its reverse (61250061), we get a palindrome (77255277).

The spelling of 16005216 in words is "sixteen million, five thousand, two hundred sixteen".