87130584 has 96 divisors (see below), whose sum is σ = 246604800. Its totient is φ = 27760320.

The previous prime is 87130543. The next prime is 87130609. The reversal of 87130584 is 48503178.

87130584 is a `hidden beast` number, since 8 + 71 + 3 + 0 + 584 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 229707 + ... + 230085.

It is an arithmetic number, because the mean of its divisors is an integer number (2568800).

Almost surely, 2^87130584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87130584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123302400).

87130584 is an abundant number, since it is smaller than the sum of its proper divisors (159474216).

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

87130584 is a wasteful number, since it uses less digits than its factorization.

87130584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 87130584 is about 9334.3764655171. The cubic root of 87130584 is about 443.3263463324.

The spelling of 87130584 in words is "eighty-seven million, one hundred thirty thousand, five hundred eighty-four".