87328584 has 192 divisors, whose sum is σ = 291110400. Its totient is φ = 24167808.

The previous prime is 87328573. The next prime is 87328589. The reversal of 87328584 is 48582378.

It is not an unprimeable number, because it can be changed into a prime (87328589) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 391497 + ... + 391719.

It is an arithmetic number, because the mean of its divisors is an integer number (1516200).

Almost surely, 2^87328584 is an apocalyptic number.

87328584 is a gapful number since it is divisible by the number (84) 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 87328584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145555200).

87328584 is an abundant number, since it is smaller than the sum of its proper divisors (203781816).

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

87328584 is a wasteful number, since it uses less digits than its factorization.

87328584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 272 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 87328584 is about 9344.9764044646. The cubic root of 87328584 is about 443.6619047762.

The spelling of 87328584 in words is "eighty-seven million, three hundred twenty-eight thousand, five hundred eighty-four".