11665216 has 28 divisors (see below), whose sum is σ = 23367492. Its totient is φ = 5777408.

The previous prime is 11665211. The next prime is 11665223. The reversal of 11665216 is 61256611.

It can be written as a sum of positive squares in 2 ways, for example, as 2903616 + 8761600 = 1704^2 + 2960^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11665211) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 6426 + ... + 8038.

Almost surely, 2^11665216 is an apocalyptic number.

11665216 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 11665216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11683746).

11665216 is an abundant number, since it is smaller than the sum of its proper divisors (11702276).

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

11665216 is a wasteful number, since it uses less digits than its factorization.

11665216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1728 counting only the distinct ones).

The product of its digits is 2160, while the sum is 28.

The square root of 11665216 is about 3415.4378928623. The cubic root of 11665216 is about 226.7936696949.

It can be divided in two parts, 11665 and 216, that added together give a square (11881 = 109²).

The spelling of 11665216 in words is "eleven million, six hundred sixty-five thousand, two hundred sixteen".