8016008 has 108 divisors (see below), whose sum is σ = 20809845. Its totient is φ = 2882880.

The previous prime is 8015989. The next prime is 8016023. The reversal of 8016008 is 8006108.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 6853924 + 1162084 = 2618^2 + 1078^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2002.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 616610 + ... + 616622.

Almost surely, 2^8016008 is an apocalyptic number.

8016008 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8016008

8016008 is an abundant number, since it is smaller than the sum of its proper divisors (12793837).

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

8016008 is a wasteful number, since it uses less digits than its factorization.

8016008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 8016008 is about 2831.2555518709. The cubic root of 8016008 is about 200.1333111210.

The spelling of 8016008 in words is "eight million, sixteen thousand, eight".