11511616 has 56 divisors (see below), whose sum is σ = 24140160. Its totient is φ = 5440512.

The previous prime is 11511607. The next prime is 11511623. The reversal of 11511616 is 61611511.

11511616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 129300 + ... + 129388.

Almost surely, 2^11511616 is an apocalyptic number.

11511616 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 11511616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12070080).

11511616 is an abundant number, since it is smaller than the sum of its proper divisors (12628544).

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

11511616 is an equidigital number, since it uses as much as digits as its factorization.

11511616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 181 counting only the distinct ones).

The product of its digits is 180, while the sum is 22.

The square root of 11511616 is about 3392.8772450532. The cubic root of 11511616 is about 225.7938444258.

The spelling of 11511616 in words is "eleven million, five hundred eleven thousand, six hundred sixteen".