11541216 has 48 divisors (see below), whose sum is σ = 31618944. Its totient is φ = 3679104.

The previous prime is 11541209. The next prime is 11541221. The reversal of 11541216 is 61214511.

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 = 11541192 and 11541201.

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, 406 + ... + 4821.

It is an arithmetic number, because the mean of its divisors is an integer number (658728).

Almost surely, 2^11541216 is an apocalyptic number.

11541216 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 11541216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15809472).

11541216 is an abundant number, since it is smaller than the sum of its proper divisors (20077728).

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

11541216 is a wasteful number, since it uses less digits than its factorization.

11541216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5263 (or 5255 counting only the distinct ones).

The product of its digits is 240, while the sum is 21.

The square root of 11541216 is about 3397.2365240001. The cubic root of 11541216 is about 225.9872078801.

Adding to 11541216 its reverse (61214511), we get a palindrome (72755727).

The spelling of 11541216 in words is "eleven million, five hundred forty-one thousand, two hundred sixteen".