84872003584 has 57 divisors (see below), whose sum is σ = 170042526997. Its totient is φ = 42361421824.

The previous prime is 84872003543. The next prime is 84872003591. The reversal of 84872003584 is 48530027848.

The square root of 84872003584 is 291328.

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., 13988265984 + 70883737600 = 118272^2 + 266240^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 149159652 + ... + 149160220.

Almost surely, 2^84872003584 is an apocalyptic number.

84872003584 is the 291328-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84872003584

84872003584 is an abundant number, since it is smaller than the sum of its proper divisors (85170523413).

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

84872003584 is an frugal number, since it uses more digits than its factorization.

84872003584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 49.

Multiplying 84872003584 by its sum of digits (49), we get a square (4158728175616 = 2039296²).

The spelling of 84872003584 in words is "eighty-four billion, eight hundred seventy-two million, three thousand, five hundred eighty-four".