11126688 has 24 divisors (see below), whose sum is σ = 29207808. Its totient is φ = 3708864.

The previous prime is 11126681. The next prime is 11126699. The reversal of 11126688 is 88662111.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11126681) 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 3 ways as a sum of consecutive naturals, for example, 57856 + ... + 58047.

It is an arithmetic number, because the mean of its divisors is an integer number (1216992).

Almost surely, 2^11126688 is an apocalyptic number.

It is an amenable number.

11126688 is an abundant number, since it is smaller than the sum of its proper divisors (18081120).

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

11126688 is a wasteful number, since it uses less digits than its factorization.

11126688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115916 (or 115908 counting only the distinct ones).

The product of its digits is 4608, while the sum is 33.

The square root of 11126688 is about 3335.6690483320. The cubic root of 11126688 is about 223.2485448295.

Adding to 11126688 its reverse (88662111), we get a palindrome (99788799).

The spelling of 11126688 in words is "eleven million, one hundred twenty-six thousand, six hundred eighty-eight".