11605216 has 48 divisors (see below), whose sum is σ = 26417664. Its totient is φ = 4915584.

The previous prime is 11605207. The next prime is 11605259. The reversal of 11605216 is 61250611.

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, 22821 + ... + 23323.

It is an arithmetic number, because the mean of its divisors is an integer number (550368).

Almost surely, 2^11605216 is an apocalyptic number.

11605216 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 11605216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13208832).

11605216 is an abundant number, since it is smaller than the sum of its proper divisors (14812448).

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

11605216 is a wasteful number, since it uses less digits than its factorization.

11605216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 11605216 is about 3406.6429222917. The cubic root of 11605216 is about 226.4041636246.

Adding to 11605216 its reverse (61250611), we get a palindrome (72855827).

The spelling of 11605216 in words is "eleven million, six hundred five thousand, two hundred sixteen".