87324 has 24 divisors (see below), whose sum is σ = 215040. Its totient is φ = 27504.

The previous prime is 87323. The next prime is 87337. The reversal of 87324 is 42378.

It is a d-powerful number, because it can be written as 8 + 7² + 3⁹ + 2¹¹ + 4⁸ .

It is a junction number, because it is equal to n+sod(n) for n = 87294 and 87303.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87324.

It is not an unprimeable number, because it can be changed into a prime (87323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37 + ... + 419.

It is an arithmetic number, because the mean of its divisors is an integer number (8960).

2⁸⁷³²⁴ 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 87324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107520).

87324 is an abundant number, since it is smaller than the sum of its proper divisors (127716).

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

87324 is a wasteful number, since it uses less digits than its factorization.

87324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 407 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 87324 is about 295.5063451095. The cubic root of 87324 is about 44.3654141828.

The spelling of 87324 in words is "eighty-seven thousand, three hundred twenty-four".