87011584 has 81 divisors (see below), whose sum is σ = 194578069. Its totient is φ = 38804480.

The previous prime is 87011579. The next prime is 87011591. The reversal of 87011584 is 48511078.

The square root of 87011584 is 9328.

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., 62726400 + 24285184 = 7920^2 + 4928^2 .

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, 1641702 + ... + 1641754.

Almost surely, 2^87011584 is an apocalyptic number.

87011584 is the 9328-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87011584

87011584 is an abundant number, since it is smaller than the sum of its proper divisors (107566485).

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

87011584 is an equidigital number, since it uses as much as digits as its factorization.

87011584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 34.

The cubic root of 87011584 is about 443.1244276780.

The spelling of 87011584 in words is "eighty-seven million, eleven thousand, five hundred eighty-four".