11009268 has 36 divisors (see below), whose sum is σ = 29467620. Its totient is φ = 3453696.

The previous prime is 11009267. The next prime is 11009293. The reversal of 11009268 is 86290011.

It can be written as a sum of positive squares in 2 ways, for example, as 8538084 + 2471184 = 2922^2 + 1572^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11009261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8383 + ... + 9606.

It is an arithmetic number, because the mean of its divisors is an integer number (818545).

Almost surely, 2^11009268 is an apocalyptic number.

11009268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11009268 is an abundant number, since it is smaller than the sum of its proper divisors (18458352).

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

11009268 is a wasteful number, since it uses less digits than its factorization.

11009268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18016 (or 18011 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 11009268 is about 3318.0216997482. The cubic root of 11009268 is about 222.4604516672.

Adding to 11009268 its reverse (86290011), we get a palindrome (97299279).

The spelling of 11009268 in words is "eleven million, nine thousand, two hundred sixty-eight".