8002984 has 32 divisors (see below), whose sum is σ = 16488000. Its totient is φ = 3611520.

The previous prime is 8002961. The next prime is 8002987. The reversal of 8002984 is 4892008.

It is not an unprimeable number, because it can be changed into a prime (8002987) 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, 17284 + ... + 17740.

It is an arithmetic number, because the mean of its divisors is an integer number (515250).

Almost surely, 2^8002984 is an apocalyptic number.

It is an amenable number.

8002984 is an abundant number, since it is smaller than the sum of its proper divisors (8485016).

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

8002984 is a wasteful number, since it uses less digits than its factorization.

8002984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 8002984 is about 2828.9545772246. The cubic root of 8002984 is about 200.0248635756.

The spelling of 8002984 in words is "eight million, two thousand, nine hundred eighty-four".