8056164 has 72 divisors (see below), whose sum is σ = 21043008. Its totient is φ = 2393600.

The previous prime is 8056163. The next prime is 8056177. The reversal of 8056164 is 4616508.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (8056163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79714 + ... + 79814.

It is an arithmetic number, because the mean of its divisors is an integer number (292264).

Almost surely, 2^8056164 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 8056164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10521504).

8056164 is an abundant number, since it is smaller than the sum of its proper divisors (12986844).

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

8056164 is a wasteful number, since it uses less digits than its factorization.

8056164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 8056164 is about 2838.3382462279. The cubic root of 8056164 is about 200.4669423093.

The spelling of 8056164 in words is "eight million, fifty-six thousand, one hundred sixty-four".