8164008 has 48 divisors (see below), whose sum is σ = 22288500. Its totient is φ = 2699520.

The previous prime is 8164003. The next prime is 8164027. The reversal of 8164008 is 8004618.

It can be written as a sum of positive squares in 2 ways, for example, as 5673924 + 2490084 = 2382^2 + 1578^2 .

It is not an unprimeable number, because it can be changed into a prime (8164003) 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 11 ways as a sum of consecutive naturals, for example, 10348 + ... + 11108.

Almost surely, 2^8164008 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 8164008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11144250).

8164008 is an abundant number, since it is smaller than the sum of its proper divisors (14124492).

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

8164008 is a wasteful number, since it uses less digits than its factorization.

8164008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 915 counting only the distinct ones).

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

The square root of 8164008 is about 2857.2728256154. The cubic root of 8164008 is about 201.3574984761.

The spelling of 8164008 in words is "eight million, one hundred sixty-four thousand, eight".