11381216 has 96 divisors (see below), whose sum is σ = 29030400. Its totient is φ = 4262400.

The previous prime is 11381213. The next prime is 11381219. The reversal of 11381216 is 61218311.

11381216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11381213) and next prime (11381219).

It is a junction number, because it is equal to n+sod(n) for n = 11381191 and 11381200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11381213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76310 + ... + 76458.

It is an arithmetic number, because the mean of its divisors is an integer number (302400).

Almost surely, 2^11381216 is an apocalyptic number.

11381216 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 11381216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).

11381216 is an abundant number, since it is smaller than the sum of its proper divisors (17649184).

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

11381216 is a wasteful number, since it uses less digits than its factorization.

11381216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 200 counting only the distinct ones).

The product of its digits is 288, while the sum is 23.

The square root of 11381216 is about 3373.6057860989. The cubic root of 11381216 is about 224.9380306706.

Adding to 11381216 its reverse (61218311), we get a palindrome (72599527).

The spelling of 11381216 in words is "eleven million, three hundred eighty-one thousand, two hundred sixteen".