87324384 has 96 divisors (see below), whose sum is σ = 263692800. Its totient is φ = 24786432.

The previous prime is 87324379. The next prime is 87324389. The reversal of 87324384 is 48342378.

It is an interprime number because it is at equal distance from previous prime (87324379) and next prime (87324389).

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87324389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133402 + ... + 134054.

It is an arithmetic number, because the mean of its divisors is an integer number (2746800).

Almost surely, 2^87324384 is an apocalyptic number.

87324384 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 87324384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131846400).

87324384 is an abundant number, since it is smaller than the sum of its proper divisors (176368416).

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

87324384 is a wasteful number, since it uses less digits than its factorization.

87324384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 864 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 87324384 is about 9344.7516820941. The cubic root of 87324384 is about 443.6547921380.

The spelling of 87324384 in words is "eighty-seven million, three hundred twenty-four thousand, three hundred eighty-four".