8201984 has 72 divisors (see below), whose sum is σ = 19622400. Its totient is φ = 3345408.

The previous prime is 8201981. The next prime is 8201987. The reversal of 8201984 is 4891028.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8201981) and next prime (8201987).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 8201984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8201981) 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, 41117 + ... + 41315.

Almost surely, 2^8201984 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 8201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9811200).

8201984 is an abundant number, since it is smaller than the sum of its proper divisors (11420416).

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

8201984 is a wasteful number, since it uses less digits than its factorization.

8201984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 231 counting only the distinct ones).

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

The square root of 8201984 is about 2863.9106131302. The cubic root of 8201984 is about 201.6692296041.

The spelling of 8201984 in words is "eight million, two hundred one thousand, nine hundred eighty-four".