8385984 has 112 divisors (see below), whose sum is σ = 25847040. Its totient is φ = 2661120.

The previous prime is 8385983. The next prime is 8385991. The reversal of 8385984 is 4895838.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8385983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39639 + ... + 39849.

Almost surely, 2^8385984 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 8385984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12923520).

8385984 is an abundant number, since it is smaller than the sum of its proper divisors (17461056).

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

8385984 is a wasteful number, since it uses less digits than its factorization.

8385984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 239 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 8385984 is about 2895.8563500284. The cubic root of 8385984 is about 203.1661464259.

The spelling of 8385984 in words is "eight million, three hundred eighty-five thousand, nine hundred eighty-four".