8349984 has 72 divisors (see below), whose sum is σ = 24111360. Its totient is φ = 2740608.

The previous prime is 8349983. The next prime is 8349997. The reversal of 8349984 is 4899438.

It is a happy number.

8349984 is a `hidden beast` number, since 83 + 499 + 84 = 666.

8349984 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8349983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22569 + ... + 22935.

It is an arithmetic number, because the mean of its divisors is an integer number (334880).

Almost surely, 2^8349984 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 8349984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12055680).

8349984 is an abundant number, since it is smaller than the sum of its proper divisors (15761376).

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

8349984 is a wasteful number, since it uses less digits than its factorization.

8349984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 451 counting only the distinct ones).

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

The square root of 8349984 is about 2889.6338868445. The cubic root of 8349984 is about 202.8750069757.

The spelling of 8349984 in words is "eight million, three hundred forty-nine thousand, nine hundred eighty-four".