5167008 has 144 divisors (see below), whose sum is σ = 18398016. Its totient is φ = 1336320.

The previous prime is 5167003. The next prime is 5167021. The reversal of 5167008 is 8007615.

5167008 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (5167003) 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, 22060 + ... + 22292.

It is an arithmetic number, because the mean of its divisors is an integer number (127764).

Almost surely, 2^5167008 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 5167008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9199008).

5167008 is an abundant number, since it is smaller than the sum of its proper divisors (13231008).

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

5167008 is a wasteful number, since it uses less digits than its factorization.

5167008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 5167008 is about 2273.1053649138. The cubic root of 5167008 is about 172.8806465124.

The spelling of 5167008 in words is "five million, one hundred sixty-seven thousand, eight".