11087568 has 60 divisors (see below), whose sum is σ = 31883748. Its totient is φ = 3594240.

The previous prime is 11087567. The next prime is 11087569. The reversal of 11087568 is 86578011.

11087568 is a `hidden beast` number, since 1 + 10 + 87 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (11087567) and next prime (11087569).

It can be written as a sum of positive squares in 2 ways, for example, as 7354944 + 3732624 = 2712^2 + 1932^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11087561) 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 11 ways as a sum of consecutive naturals, for example, 4288 + ... + 6368.

Almost surely, 2^11087568 is an apocalyptic number.

11087568 is a gapful number since it is divisible by the number (18) 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 11087568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15941874).

11087568 is an abundant number, since it is smaller than the sum of its proper divisors (20796180).

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

11087568 is a wasteful number, since it uses less digits than its factorization.

11087568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 11087568 is about 3329.7999939936. The cubic root of 11087568 is about 222.9865999040.

It can be divided in two parts, 110 and 87568, that added together give a palindrome (87678).

The spelling of 11087568 in words is "eleven million, eighty-seven thousand, five hundred sixty-eight".