11515664 has 20 divisors (see below), whose sum is σ = 23624604. Its totient is φ = 5419008.

The previous prime is 11515657. The next prime is 11515667. The reversal of 11515664 is 46651511.

It can be written as a sum of positive squares in 2 ways, for example, as 9241600 + 2274064 = 3040^2 + 1508^2 .

It is a super-2 number, since 2×11515664² = 265221034721792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11515667) 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 3 ways as a sum of consecutive naturals, for example, 20897 + ... + 21440.

Almost surely, 2^11515664 is an apocalyptic number.

It is an amenable number.

11515664 is an abundant number, since it is smaller than the sum of its proper divisors (12108940).

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

11515664 is a wasteful number, since it uses less digits than its factorization.

11515664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42362 (or 42356 counting only the distinct ones).

The product of its digits is 3600, while the sum is 29.

The square root of 11515664 is about 3393.4737364535. The cubic root of 11515664 is about 225.8203077352.

The spelling of 11515664 in words is "eleven million, five hundred fifteen thousand, six hundred sixty-four".