11517064 has 64 divisors (see below), whose sum is σ = 24801840. Its totient is φ = 4976640.

The previous prime is 11517061. The next prime is 11517067. The reversal of 11517064 is 46071511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11517061) and next prime (11517067).

It can be written as a sum of positive squares in 8 ways, for example, as 3348900 + 8168164 = 1830^2 + 2858^2 .

It is not an unprimeable number, because it can be changed into a prime (11517061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157732 + ... + 157804.

Almost surely, 2^11517064 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 11517064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12400920).

11517064 is an abundant number, since it is smaller than the sum of its proper divisors (13284776).

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

11517064 is a wasteful number, since it uses less digits than its factorization.

11517064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 25.

The square root of 11517064 is about 3393.6800084864. The cubic root of 11517064 is about 225.8294586222.

Adding to 11517064 its reverse (46071511), we get a palindrome (57588575).

It can be divided in two parts, 115170 and 64, that multiplied together give a triangular number (7370880 = T₃₈₃₉).

The spelling of 11517064 in words is "eleven million, five hundred seventeen thousand, sixty-four".