11071216 has 80 divisors (see below), whose sum is σ = 25498368. Its totient is φ = 4608000.

The previous prime is 11071187. The next prime is 11071217. The reversal of 11071216 is 61217011.

It is a junction number, because it is equal to n+sod(n) for n = 11071193 and 11071202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11071217) 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 15 ways as a sum of consecutive naturals, for example, 109566 + ... + 109666.

Almost surely, 2^11071216 is an apocalyptic number.

11071216 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 11071216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12749184).

11071216 is an abundant number, since it is smaller than the sum of its proper divisors (14427152).

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

11071216 is a wasteful number, since it uses less digits than its factorization.

11071216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 19.

The square root of 11071216 is about 3327.3436852841. The cubic root of 11071216 is about 222.8769253908.

Adding to 11071216 its reverse (61217011), we get a palindrome (72288227).

The spelling of 11071216 in words is "eleven million, seventy-one thousand, two hundred sixteen".