84384840 has 64 divisors (see below), whose sum is σ = 254885760. Its totient is φ = 22348800.

The previous prime is 84384803. The next prime is 84384841. The reversal of 84384840 is 4848348.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (84384841) 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 15 ways as a sum of consecutive naturals, for example, 15792 + ... + 20448.

It is an arithmetic number, because the mean of its divisors is an integer number (3982590).

Almost surely, 2^84384840 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 84384840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127442880).

84384840 is an abundant number, since it is smaller than the sum of its proper divisors (170500920).

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

84384840 is a wasteful number, since it uses less digits than its factorization.

84384840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4822 (or 4818 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 39.

The square root of 84384840 is about 9186.1221415786. The cubic root of 84384840 is about 438.6197103415.

The spelling of 84384840 in words is "eighty-four million, three hundred eighty-four thousand, eight hundred forty".