84839680 has 72 divisors (see below), whose sum is σ = 206035200. Its totient is φ = 33466368.

The previous prime is 84839659. The next prime is 84839723. The reversal of 84839680 is 8693848.

It is a self number, because there is not a number n which added to its sum of digits gives 84839680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100701 + ... + 101539.

It is an arithmetic number, because the mean of its divisors is an integer number (2861600).

Almost surely, 2^84839680 is an apocalyptic number.

84839680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103017600).

84839680 is an abundant number, since it is smaller than the sum of its proper divisors (121195520).

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

84839680 is an equidigital number, since it uses as much as digits as its factorization.

84839680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 84839680 is about 9210.8457809259. The cubic root of 84839680 is about 439.4063619717.

The spelling of 84839680 in words is "eighty-four million, eight hundred thirty-nine thousand, six hundred eighty".