11116064 has 48 divisors (see below), whose sum is σ = 23587200. Its totient is φ = 5140224.

The previous prime is 11116057. The next prime is 11116067. The reversal of 11116064 is 46061111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11116067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28382 + ... + 28770.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 2^11116064 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 11116064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11793600).

11116064 is an abundant number, since it is smaller than the sum of its proper divisors (12471136).

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

11116064 is a wasteful number, since it uses less digits than its factorization.

11116064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 11116064 is about 3334.0761838926. The cubic root of 11116064 is about 223.1774680389.

Adding to 11116064 its reverse (46061111), we get a palindrome (57177175).

The spelling of 11116064 in words is "eleven million, one hundred sixteen thousand, sixty-four".