84284304 has 80 divisors (see below), whose sum is σ = 246859200. Its totient is φ = 24565248.

The previous prime is 84284303. The next prime is 84284309. The reversal of 84284304 is 40348248.

It is not an unprimeable number, because it can be changed into a prime (84284303) 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, 8302 + ... + 15410.

It is an arithmetic number, because the mean of its divisors is an integer number (3085740).

Almost surely, 2^84284304 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 84284304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123429600).

84284304 is an abundant number, since it is smaller than the sum of its proper divisors (162574896).

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

84284304 is a wasteful number, since it uses less digits than its factorization.

84284304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7152 (or 7146 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 84284304 is about 9180.6483431183. The cubic root of 84284304 is about 438.4454507818.

The spelling of 84284304 in words is "eighty-four million, two hundred eighty-four thousand, three hundred four".