11009088 has 112 divisors (see below), whose sum is σ = 33893760. Its totient is φ = 3497472.

The previous prime is 11009087. The next prime is 11009137. The reversal of 11009088 is 88090011.

11009088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11009083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39606 + ... + 39882.

Almost surely, 2^11009088 is an apocalyptic number.

11009088 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 11009088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16946880).

11009088 is an abundant number, since it is smaller than the sum of its proper divisors (22884672).

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

11009088 is a wasteful number, since it uses less digits than its factorization.

11009088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 11009088 is about 3317.9945750408. The cubic root of 11009088 is about 222.4592392614.

Adding to 11009088 its reverse (88090011), we get a palindrome (99099099).

The spelling of 11009088 in words is "eleven million, nine thousand, eighty-eight".