11009016 has 48 divisors (see below), whose sum is σ = 30115800. Its totient is φ = 3632832.

The previous prime is 11008967. The next prime is 11009023. The reversal of 11009016 is 61090011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 11009016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6990 + ... + 8418.

Almost surely, 2^11009016 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 11009016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15057900).

11009016 is an abundant number, since it is smaller than the sum of its proper divisors (19106784).

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

11009016 is a wasteful number, since it uses less digits than its factorization.

11009016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 11009016 is about 3317.9837250957. The cubic root of 11009016 is about 222.4587542954.

Adding to 11009016 its reverse (61090011), we get a palindrome (72099027).

The spelling of 11009016 in words is "eleven million, nine thousand, sixteen".