11012688 has 60 divisors (see below), whose sum is σ = 31827328. Its totient is φ = 3551040.

The previous prime is 11012681. The next prime is 11012693. The reversal of 11012688 is 88621011.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3231 + ... + 5697.

Almost surely, 2^11012688 is an apocalyptic number.

11012688 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 11012688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15913664).

11012688 is an abundant number, since it is smaller than the sum of its proper divisors (20814640).

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

11012688 is a wasteful number, since it uses less digits than its factorization.

11012688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2512 (or 2503 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 11012688 is about 3318.5370270648. The cubic root of 11012688 is about 222.4834848660.

Adding to 11012688 its reverse (88621011), we get a palindrome (99633699).

The spelling of 11012688 in words is "eleven million, twelve thousand, six hundred eighty-eight".