11516768 has 48 divisors (see below), whose sum is σ = 23786784. Its totient is φ = 5483520.

The previous prime is 11516759. The next prime is 11516789. The reversal of 11516768 is 86761511.

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, 83996 + ... + 84132.

It is an arithmetic number, because the mean of its divisors is an integer number (495558).

Almost surely, 2^11516768 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 11516768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11893392).

11516768 is an abundant number, since it is smaller than the sum of its proper divisors (12270016).

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

11516768 is a wasteful number, since it uses less digits than its factorization.

11516768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 247 counting only the distinct ones).

The product of its digits is 10080, while the sum is 35.

The square root of 11516768 is about 3393.6363977303. The cubic root of 11516768 is about 225.8275239251.

The spelling of 11516768 in words is "eleven million, five hundred sixteen thousand, seven hundred sixty-eight".