10806561 has 8 divisors (see below), whose sum is σ = 16009760. Its totient is φ = 7204356.

The previous prime is 10806539. The next prime is 10806563. The reversal of 10806561 is 16560801.

10806561 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 656 + 1 = 666.

It is not a de Polignac number, because 10806561 - 2¹⁹ = 10282273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 400243 = 10806561 / (1 + 0 + 8 + 0 + 6 + 5 + 6 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10806563) 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, 200095 + ... + 200148.

It is an arithmetic number, because the mean of its divisors is an integer number (2001220).

Almost surely, 2^10806561 is an apocalyptic number.

It is an amenable number.

10806561 is a deficient number, since it is larger than the sum of its proper divisors (5203199).

10806561 is an equidigital number, since it uses as much as digits as its factorization.

10806561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400252 (or 400246 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10806561 is about 3287.3334178328. Note that the first 3 decimals coincide. The cubic root of 10806561 is about 221.0866418401.

The spelling of 10806561 in words is "ten million, eight hundred six thousand, five hundred sixty-one".