16216416 has 72 divisors (see below), whose sum is σ = 47645640. Its totient is φ = 5366016.

The previous prime is 16216399. The next prime is 16216427. The reversal of 16216416 is 61461261.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

16216416 is a `hidden beast` number, since 16 + 2 + 1 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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.

It is a self number, because there is not a number n which added to its sum of digits gives 16216416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118300 + ... + 118436.

It is an arithmetic number, because the mean of its divisors is an integer number (661745).

Almost surely, 2^16216416 is an apocalyptic number.

16216416 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 16216416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23822820).

16216416 is an abundant number, since it is smaller than the sum of its proper divisors (31429224).

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

16216416 is an equidigital number, since it uses as much as digits as its factorization.

16216416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 142 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 16216416 is about 4026.9611371355. The cubic root of 16216416 is about 253.1152385810.

Adding to 16216416 its reverse (61461261), we get a palindrome (77677677).

The spelling of 16216416 in words is "sixteen million, two hundred sixteen thousand, four hundred sixteen".