11315568 has 80 divisors (see below), whose sum is σ = 33033600. Its totient is φ = 3306240.

The previous prime is 11315567. The next prime is 11315569. The reversal of 11315568 is 86551311.

It is an interprime number because it is at equal distance from previous prime (11315567) and next prime (11315569).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11315567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14943 + ... + 15681.

It is an arithmetic number, because the mean of its divisors is an integer number (412920).

Almost surely, 2^11315568 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 11315568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16516800).

11315568 is an abundant number, since it is smaller than the sum of its proper divisors (21718032).

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

11315568 is a wasteful number, since it uses less digits than its factorization.

11315568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 784 counting only the distinct ones).

The product of its digits is 3600, while the sum is 30.

The square root of 11315568 is about 3363.8620661377. The cubic root of 11315568 is about 224.5047080459.

Adding to 11315568 its reverse (86551311), we get a palindrome (97866879).

The spelling of 11315568 in words is "eleven million, three hundred fifteen thousand, five hundred sixty-eight".