84884306560 has 128 divisors (see below), whose sum is σ = 206049983760. Its totient is φ = 33432698880.

The previous prime is 84884306531. The next prime is 84884306603. The reversal of 84884306560 is 6560348848.

It can be written as a sum of positive squares in 8 ways, for example, as 58606599744 + 26277706816 = 242088^2 + 162104^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 84884306498 and 84884306507.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38356014 + ... + 38358226.

Almost surely, 2^84884306560 is an apocalyptic number.

84884306560 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 84884306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103024991880).

84884306560 is an abundant number, since it is smaller than the sum of its proper divisors (121165677200).

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

84884306560 is a wasteful number, since it uses less digits than its factorization.

84884306560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3126 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 52.

The spelling of 84884306560 in words is "eighty-four billion, eight hundred eighty-four million, three hundred six thousand, five hundred sixty".