8003029216 has 288 divisors, whose sum is σ = 21420661248. Its totient is φ = 2860323840.

The previous prime is 8003029187. The next prime is 8003029291. The reversal of 8003029216 is 6129203008.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 24178171 + ... + 24178501.

It is an arithmetic number, because the mean of its divisors is an integer number (74377296).

Almost surely, 2^8003029216 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 8003029216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10710330624).

8003029216 is an abundant number, since it is smaller than the sum of its proper divisors (13417632032).

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

8003029216 is a wasteful number, since it uses less digits than its factorization.

8003029216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 8003029216 is about 89459.6513295240. The cubic root of 8003029216 is about 2000.2524028117.

The spelling of 8003029216 in words is "eight billion, three million, twenty-nine thousand, two hundred sixteen".