8008084120 has 64 divisors (see below), whose sum is σ = 18133502400. Its totient is φ = 3182807040.

The previous prime is 8008084069. The next prime is 8008084129. The reversal of 8008084120 is 214808008.

It is a super-2 number, since 2×8008084120² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8008084129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5135901 + ... + 5137459.

It is an arithmetic number, because the mean of its divisors is an integer number (283335975).

Almost surely, 2^8008084120 is an apocalyptic number.

It is an amenable number.

8008084120 is an abundant number, since it is smaller than the sum of its proper divisors (10125418280).

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

8008084120 is a wasteful number, since it uses less digits than its factorization.

8008084120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 8008084120 is about 89487.8992937034. The cubic root of 8008084120 is about 2000.6734498738.

The spelling of 8008084120 in words is "eight billion, eight million, eighty-four thousand, one hundred twenty".