11266688 has 64 divisors (see below), whose sum is σ = 24235200. Its totient is φ = 5203968.

The previous prime is 11266681. The next prime is 11266709. The reversal of 11266688 is 88666211.

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

It is a plaindrome in base 10.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (11266681) 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 7 ways as a sum of consecutive naturals, for example, 126548 + ... + 126636.

It is an arithmetic number, because the mean of its divisors is an integer number (378675).

Almost surely, 2^11266688 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 11266688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12117600).

11266688 is an abundant number, since it is smaller than the sum of its proper divisors (12968512).

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

11266688 is an equidigital number, since it uses as much as digits as its factorization.

11266688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 157 counting only the distinct ones).

The product of its digits is 27648, while the sum is 38.

The square root of 11266688 is about 3356.5887445441. The cubic root of 11266688 is about 224.1809761936.

The spelling of 11266688 in words is "eleven million, two hundred sixty-six thousand, six hundred eighty-eight".