16353216 has 168 divisors, whose sum is σ = 53492400. Its totient is φ = 4730880.

The previous prime is 16353199. The next prime is 16353221. The reversal of 16353216 is 61235361.

16353216 is a `hidden beast` number, since 1 + 635 + 3 + 21 + 6 = 666.

16353216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 16353216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183700 + ... + 183788.

Almost surely, 2^16353216 is an apocalyptic number.

16353216 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 16353216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26746200).

16353216 is an abundant number, since it is smaller than the sum of its proper divisors (37139184).

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

16353216 is a wasteful number, since it uses less digits than its factorization.

16353216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 134 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 16353216 is about 4043.9109782487. The cubic root of 16353216 is about 253.8249977707.

Adding to 16353216 its reverse (61235361), we get a palindrome (77588577).

It can be divided in two parts, 1635 and 3216, that added together give a triangular number (4851 = T₉₈).

The spelling of 16353216 in words is "sixteen million, three hundred fifty-three thousand, two hundred sixteen".