11017216 has 88 divisors (see below), whose sum is σ = 26529120. Its totient is φ = 4472832.

The previous prime is 11017211. The next prime is 11017217. The reversal of 11017216 is 61271011.

It is a junction number, because it is equal to n+sod(n) for n = 11017193 and 11017202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11017211) 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, 207846 + ... + 207898.

Almost surely, 2^11017216 is an apocalyptic number.

11017216 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 11017216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13264560).

11017216 is an abundant number, since it is smaller than the sum of its proper divisors (15511904).

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

11017216 is an equidigital number, since it uses as much as digits as its factorization.

11017216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 91 counting only the distinct ones).

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

The square root of 11017216 is about 3319.2191852904. The cubic root of 11017216 is about 222.5139729473.

Adding to 11017216 its reverse (61271011), we get a palindrome (72288227).

The spelling of 11017216 in words is "eleven million, seventeen thousand, two hundred sixteen".