8116560 has 60 divisors (see below), whose sum is σ = 27260532. Its totient is φ = 2164224.

The previous prime is 8116547. The next prime is 8116561. The reversal of 8116560 is 656118.

8116560 is a `hidden beast` number, since 8 + 1 + 1 + 656 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2471184 + 5645376 = 1572^2 + 2376^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8116561) 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 11 ways as a sum of consecutive naturals, for example, 4917 + ... + 6356.

Almost surely, 2^8116560 is an apocalyptic number.

8116560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8116560 is an abundant number, since it is smaller than the sum of its proper divisors (19143972).

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

8116560 is a wasteful number, since it uses less digits than its factorization.

8116560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11292 (or 11283 counting only the distinct ones).

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

The square root of 8116560 is about 2848.9577041437. The cubic root of 8116560 is about 200.9666537092.

It can be divided in two parts, 81165 and 60, that added together give a square (81225 = 285²).

The spelling of 8116560 in words is "eight million, one hundred sixteen thousand, five hundred sixty".