8005008 has 40 divisors (see below), whose sum is σ = 22561056. Its totient is φ = 2425600.

The previous prime is 8005007. The next prime is 8005027.

8005008 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (8005003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7053 + ... + 8108.

Almost surely, 2^8005008 is an apocalyptic number.

8005008 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8005008 is an abundant number, since it is smaller than the sum of its proper divisors (14556048).

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

8005008 is a wasteful number, since it uses less digits than its factorization.

8005008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15183 (or 15177 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 8005008 is about 2829.3122839305. The cubic root of 8005008 is about 200.0417246280.

The spelling of 8005008 in words is "eight million, five thousand, eight".