8133984 has 72 divisors (see below), whose sum is σ = 23560992. Its totient is φ = 2661120.

The previous prime is 8133971. The next prime is 8133989. The reversal of 8133984 is 4893318.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8133989) 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 11 ways as a sum of consecutive naturals, for example, 17337 + ... + 17799.

It is an arithmetic number, because the mean of its divisors is an integer number (327236).

Almost surely, 2^8133984 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 8133984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11780496).

8133984 is an abundant number, since it is smaller than the sum of its proper divisors (15427008).

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

8133984 is a wasteful number, since it uses less digits than its factorization.

8133984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 529 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 8133984 is about 2852.0140252110. The cubic root of 8133984 is about 201.1103574570.

The spelling of 8133984 in words is "eight million, one hundred thirty-three thousand, nine hundred eighty-four".