11756016 has 100 divisors (see below), whose sum is σ = 34929312. Its totient is φ = 3815424.

The previous prime is 11756011. The next prime is 11756023. The reversal of 11756016 is 61065711.

11756016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11756011) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 60816 + ... + 61008.

Almost surely, 2^11756016 is an apocalyptic number.

11756016 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 11756016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17464656).

11756016 is an abundant number, since it is smaller than the sum of its proper divisors (23173296).

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

11756016 is a wasteful number, since it uses less digits than its factorization.

11756016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 11756016 is about 3428.7047116951. The cubic root of 11756016 is about 227.3805902356.

The spelling of 11756016 in words is "eleven million, seven hundred fifty-six thousand, sixteen".