8012984 has 64 divisors (see below), whose sum is σ = 19180800. Its totient is φ = 3055104.

The previous prime is 8012959. The next prime is 8012987. The reversal of 8012984 is 4892108.

It is a happy number.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 8012984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8012987) 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 15 ways as a sum of consecutive naturals, for example, 17867 + ... + 18309.

It is an arithmetic number, because the mean of its divisors is an integer number (299700).

Almost surely, 2^8012984 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 8012984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9590400).

8012984 is an abundant number, since it is smaller than the sum of its proper divisors (11167816).

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

8012984 is a wasteful number, since it uses less digits than its factorization.

8012984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 8012984 is about 2830.7214628077. The cubic root of 8012984 is about 200.1081415165.

The spelling of 8012984 in words is "eight million, twelve thousand, nine hundred eighty-four".