13116064 has 48 divisors (see below), whose sum is σ = 28523880. Its totient is φ = 5898240.

The previous prime is 13116041. The next prime is 13116101. The reversal of 13116064 is 46061131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4752400 + 8363664 = 2180^2 + 2892^2 .

It is a super-2 number, since 2×13116064² = 344062269704192, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16672 + ... + 17440.

Almost surely, 2^13116064 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 13116064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14261940).

13116064 is an abundant number, since it is smaller than the sum of its proper divisors (15407816).

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

13116064 is a wasteful number, since it uses less digits than its factorization.

13116064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 13116064 is about 3621.6106913913. The cubic root of 13116064 is about 235.8311537657.

Adding to 13116064 its reverse (46061131), we get a palindrome (59177195).

The spelling of 13116064 in words is "thirteen million, one hundred sixteen thousand, sixty-four".