8008164 has 36 divisors (see below), whose sum is σ = 20371260. Its totient is φ = 2652480.

The previous prime is 8008159. The next prime is 8008181. The reversal of 8008164 is 4618008.

8008164 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3968064 + 4040100 = 1992^2 + 2010^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5902 + ... + 7130.

Almost surely, 2^8008164 is an apocalyptic number.

It is an amenable number.

8008164 is an abundant number, since it is smaller than the sum of its proper divisors (12363096).

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

8008164 is a wasteful number, since it uses less digits than its factorization.

8008164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8008164 is about 2829.8699616767. The cubic root of 8008164 is about 200.0680102038.

The spelling of 8008164 in words is "eight million, eight thousand, one hundred sixty-four".