84090720256 has 117 divisors (see below), whose sum is σ = 176687004361. Its totient is φ = 40013152256.

The previous prime is 84090720229. The next prime is 84090720281. The reversal of 84090720256 is 65202709048.

The square root of 84090720256 is 289984.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 82391961600 + 1698758656 = 287040^2 + 41216^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 426856350 + ... + 426856546.

Almost surely, 2^84090720256 is an apocalyptic number.

84090720256 is the 289984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84090720256

84090720256 is an abundant number, since it is smaller than the sum of its proper divisors (92596284105).

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

84090720256 is an frugal number, since it uses more digits than its factorization.

84090720256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 84090720256 in words is "eighty-four billion, ninety million, seven hundred twenty thousand, two hundred fifty-six".