84000269584 has 135 divisors (see below), whose sum is σ = 208319155653. Its totient is φ = 32692598400.

The previous prime is 84000269579. The next prime is 84000269623. The reversal of 84000269584 is 48596200048.

The square root of 84000269584 is 289828.

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., 52088019984 + 31912249600 = 228228^2 + 178640^2 .

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 89266554 + ... + 89267494.

Almost surely, 2^84000269584 is an apocalyptic number.

84000269584 is the 289828-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84000269584

84000269584 is an abundant number, since it is smaller than the sum of its proper divisors (124318886069).

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

84000269584 is an equidigital number, since it uses as much as digits as its factorization.

84000269584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The spelling of 84000269584 in words is "eighty-four billion, two hundred sixty-nine thousand, five hundred eighty-four".