11088768 has 64 divisors (see below), whose sum is σ = 29963520. Its totient is φ = 3632640.

The previous prime is 11088767. The next prime is 11088769. The reversal of 11088768 is 86788011.

It is an interprime number because it is at equal distance from previous prime (11088767) and next prime (11088769).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11088767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25513 + ... + 25943.

It is an arithmetic number, because the mean of its divisors is an integer number (468180).

Almost surely, 2^11088768 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 11088768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14981760).

11088768 is an abundant number, since it is smaller than the sum of its proper divisors (18874752).

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

11088768 is an equidigital number, since it uses as much as digits as its factorization.

11088768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 39.

The square root of 11088768 is about 3329.9801801212. The cubic root of 11088768 is about 222.9946441768.

The spelling of 11088768 in words is "eleven million, eighty-eight thousand, seven hundred sixty-eight".