11016 has 40 divisors (see below), whose sum is σ = 32670. Its totient is φ = 3456.

The previous prime is 11003. The next prime is 11027. The reversal of 11016 is 61011.

11016 = 3³ + 4³ + ... + 14³.

It can be written as a sum of positive squares in only one way, i.e., 8100 + 2916 = 90^2 + 54^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 10989 and 11007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 640 + ... + 656.

2¹¹⁰¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16335).

11016 is an abundant number, since it is smaller than the sum of its proper divisors (21654).

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

11016 is a wasteful number, since it uses less digits than its factorization.

11016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 11016 is about 104.9571341072. The cubic root of 11016 is about 22.2505786156.

Adding to 11016 its reverse (61011), we get a palindrome (72027).

The spelling of 11016 in words is "eleven thousand, sixteen".