11311216 has 40 divisors (see below), whose sum is σ = 26141184. Its totient is φ = 4635840.

The previous prime is 11311177. The next prime is 11311217. The reversal of 11311216 is 61211311.

It is a super-3 number, since 3×11311216³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a self number, because there is not a number n which added to its sum of digits gives 11311216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11311217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 381 + ... + 4771.

Almost surely, 2^11311216 is an apocalyptic number.

11311216 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 11311216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13070592).

11311216 is an abundant number, since it is smaller than the sum of its proper divisors (14829968).

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

11311216 is a wasteful number, since it uses less digits than its factorization.

11311216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4429 (or 4423 counting only the distinct ones).

The product of its digits is 36, while the sum is 16.

The square root of 11311216 is about 3363.2151284151. The cubic root of 11311216 is about 224.4759226364.

Adding to 11311216 its reverse (61211311), we get a palindrome (72522527).

The spelling of 11311216 in words is "eleven million, three hundred eleven thousand, two hundred sixteen".