11516256 has 72 divisors (see below), whose sum is σ = 33985224. Its totient is φ = 3836160.

The previous prime is 11516249. The next prime is 11516257. The reversal of 11516256 is 65261511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 (11516257) 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 11 ways as a sum of consecutive naturals, for example, 7036 + ... + 8516.

It is an arithmetic number, because the mean of its divisors is an integer number (472017).

Almost surely, 2^11516256 is an apocalyptic number.

11516256 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 11516256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16992612).

11516256 is an abundant number, since it is smaller than the sum of its proper divisors (22468968).

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

11516256 is an equidigital number, since it uses as much as digits as its factorization.

11516256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 1486 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 11516256 is about 3393.5609615859. The cubic root of 11516256 is about 225.8241773436.

Adding to 11516256 its reverse (65261511), we get a palindrome (76777767).

The spelling of 11516256 in words is "eleven million, five hundred sixteen thousand, two hundred fifty-six".