11686561 has 8 divisors (see below), whose sum is σ = 12058920. Its totient is φ = 11317248.

The previous prime is 11686559. The next prime is 11686567. The reversal of 11686561 is 16568611.

It can be written as a sum of positive squares in 4 ways, for example, as 10764961 + 921600 = 3281^2 + 960^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11686561 - 2¹ = 11686559 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11686567) 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, 8895 + ... + 10123.

It is an arithmetic number, because the mean of its divisors is an integer number (1507365).

Almost surely, 2^11686561 is an apocalyptic number.

It is an amenable number.

11686561 is a deficient number, since it is larger than the sum of its proper divisors (372359).

11686561 is a wasteful number, since it uses less digits than its factorization.

11686561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523.

The product of its digits is 8640, while the sum is 34.

The square root of 11686561 is about 3418.5612470746. The cubic root of 11686561 is about 226.9319143488.

The spelling of 11686561 in words is "eleven million, six hundred eighty-six thousand, five hundred sixty-one".