11516016 has 40 divisors (see below), whose sum is σ = 30779280. Its totient is φ = 3705856.

The previous prime is 11516009. The next prime is 11516017. The reversal of 11516016 is 61061511.

It is a junction number, because it is equal to n+sod(n) for n = 11515983 and 11516001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11516017) 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 7 ways as a sum of consecutive naturals, for example, 2745 + ... + 5528.

It is an arithmetic number, because the mean of its divisors is an integer number (769482).

Almost surely, 2^11516016 is an apocalyptic number.

11516016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11516016 is an abundant number, since it is smaller than the sum of its proper divisors (19263264).

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

11516016 is a wasteful number, since it uses less digits than its factorization.

11516016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8313 (or 8307 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 11516016 is about 3393.5256003160. The cubic root of 11516016 is about 225.8226085994.

Adding to 11516016 its reverse (61061511), we get a palindrome (72577527).

The spelling of 11516016 in words is "eleven million, five hundred sixteen thousand, sixteen".