8008938 has 48 divisors (see below), whose sum is σ = 21003840. Its totient is φ = 2153088.

The previous prime is 8008933. The next prime is 8008951. The reversal of 8008938 is 8398008.

It is not an unprimeable number, because it can be changed into a prime (8008933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273 + ... + 4011.

It is an arithmetic number, because the mean of its divisors is an integer number (437580).

Almost surely, 2^8008938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8008938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10501920).

8008938 is an abundant number, since it is smaller than the sum of its proper divisors (12994902).

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

8008938 is a wasteful number, since it uses less digits than its factorization.

8008938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3771 (or 3768 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8008938 is about 2830.0067137730. The cubic root of 8008938 is about 200.0744556117.

The spelling of 8008938 in words is "eight million, eight thousand, nine hundred thirty-eight".