84309984 has 120 divisors (see below), whose sum is σ = 270586008. Its totient is φ = 25539840.

The previous prime is 84309983. The next prime is 84310001. The reversal of 84309984 is 48990348.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84309983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27034 + ... + 29990.

Almost surely, 2^84309984 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 84309984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135293004).

84309984 is an abundant number, since it is smaller than the sum of its proper divisors (186276024).

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

84309984 is a wasteful number, since it uses less digits than its factorization.

84309984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 2973 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 84309984 is about 9182.0468306364. The cubic root of 84309984 is about 438.4899752279.

The spelling of 84309984 in words is "eighty-four million, three hundred nine thousand, nine hundred eighty-four".