8164656 has 90 divisors (see below), whose sum is σ = 24010740. Its totient is φ = 2589120.

The previous prime is 8164643. The next prime is 8164657. The reversal of 8164656 is 6564618.

8164656 is a `hidden beast` number, since 8 + 1 + 646 + 5 + 6 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (34560) is a multiple of the sum of its prime factors (135).

It is a self number, because there is not a number n which added to its sum of digits gives 8164656.

It is not an unprimeable number, because it can be changed into a prime (8164657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 138355 + ... + 138413.

It is an arithmetic number, because the mean of its divisors is an integer number (266786).

Almost surely, 2^8164656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8164656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12005370).

8164656 is an abundant number, since it is smaller than the sum of its proper divisors (15846084).

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

8164656 is a wasteful number, since it uses less digits than its factorization.

8164656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 95 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 8164656 is about 2857.3862182071. The cubic root of 8164656 is about 201.3628257699.

The spelling of 8164656 in words is "eight million, one hundred sixty-four thousand, six hundred fifty-six".