8002016 has 48 divisors (see below), whose sum is σ = 17418240. Its totient is φ = 3588480.

The previous prime is 8002013. The next prime is 8002051. The reversal of 8002016 is 6102008.

It is a junction number, because it is equal to n+sod(n) for n = 8001985 and 8002003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8002013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44615 + ... + 44793.

It is an arithmetic number, because the mean of its divisors is an integer number (362880).

Almost surely, 2^8002016 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 8002016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8709120).

8002016 is an abundant number, since it is smaller than the sum of its proper divisors (9416224).

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

8002016 is a wasteful number, since it uses less digits than its factorization.

8002016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 8002016 is about 2828.7834841147. The cubic root of 8002016 is about 200.0167985890.

The spelling of 8002016 in words is "eight million, two thousand, sixteen".