8564116 has 24 divisors (see below), whose sum is σ = 16470720. Its totient is φ = 3864000.

The previous prime is 8564113. The next prime is 8564123. The reversal of 8564116 is 6114658.

It is a super-3 number, since 3×8564116³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (31) 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 (8564113) 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, 6000 + ... + 7288.

It is an arithmetic number, because the mean of its divisors is an integer number (686280).

Almost surely, 2^8564116 is an apocalyptic number.

It is an amenable number.

8564116 is a deficient number, since it is larger than the sum of its proper divisors (7906604).

8564116 is a wasteful number, since it uses less digits than its factorization.

8564116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1453 counting only the distinct ones).

The product of its digits is 5760, while the sum is 31.

The square root of 8564116 is about 2926.4510930477. The cubic root of 8564116 is about 204.5946063459.

The spelling of 8564116 in words is "eight million, five hundred sixty-four thousand, one hundred sixteen".