11564116 has 24 divisors (see below), whose sum is σ = 21047040. Its totient is φ = 5553600.

The previous prime is 11564107. The next prime is 11564129. The reversal of 11564116 is 61146511.

It is a super-3 number, since 3×11564116³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21936 + ... + 22456.

It is an arithmetic number, because the mean of its divisors is an integer number (876960).

Almost surely, 2^11564116 is an apocalyptic number.

It is an amenable number.

11564116 is a deficient number, since it is larger than the sum of its proper divisors (9482924).

11564116 is a wasteful number, since it uses less digits than its factorization.

11564116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 733 counting only the distinct ones).

The product of its digits is 720, while the sum is 25.

The square root of 11564116 is about 3400.6052402477. The cubic root of 11564116 is about 226.1365765436.

The spelling of 11564116 in words is "eleven million, five hundred sixty-four thousand, one hundred sixteen".