84309682320 has 120 divisors (see below), whose sum is σ = 283217196600. Its totient is φ = 22476453888.

The previous prime is 84309682313. The next prime is 84309682321. The reversal of 84309682320 is 2328690348.

It can be written as a sum of positive squares in 4 ways, for example, as 14759334144 + 69550348176 = 121488^2 + 263724^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (84309682321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3031036 + ... + 3058724.

It is an arithmetic number, because the mean of its divisors is an integer number (2360143305).

Almost surely, 2^84309682320 is an apocalyptic number.

84309682320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84309682320 is an abundant number, since it is smaller than the sum of its proper divisors (198907514280).

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

84309682320 is a wasteful number, since it uses less digits than its factorization.

84309682320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31937 (or 31928 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 84309682320 in words is "eighty-four billion, three hundred nine million, six hundred eighty-two thousand, three hundred twenty".