11586561 has 32 divisors (see below), whose sum is σ = 18892800. Its totient is φ = 6168960.

The previous prime is 11586541. The next prime is 11586563. The reversal of 11586561 is 16568511.

It is not a de Polignac number, because 11586561 - 2⁷ = 11586433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11586563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28125 + ... + 28533.

It is an arithmetic number, because the mean of its divisors is an integer number (590400).

Almost surely, 2^11586561 is an apocalyptic number.

It is an amenable number.

11586561 is a deficient number, since it is larger than the sum of its proper divisors (7306239).

11586561 is a wasteful number, since it uses less digits than its factorization.

11586561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509.

The product of its digits is 7200, while the sum is 33.

The square root of 11586561 is about 3403.9037882995. The cubic root of 11586561 is about 226.2827861688.

The spelling of 11586561 in words is "eleven million, five hundred eighty-six thousand, five hundred sixty-one".