87824 has 20 divisors (see below), whose sum is σ = 186000. Its totient is φ = 39840.

The previous prime is 87811. The next prime is 87833. The reversal of 87824 is 42878.

Its product of digits (3584) is a multiple of the sum of its prime divisors (512).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 74 + ... + 425.

It is an arithmetic number, because the mean of its divisors is an integer number (9300).

2⁸⁷⁸²⁴ is an apocalyptic number.

It is an amenable number.

87824 is an abundant number, since it is smaller than the sum of its proper divisors (98176).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93000).

87824 is a wasteful number, since it uses less digits than its factorization.

87824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 512 counting only the distinct ones).

The product of its digits is 3584, while the sum is 29.

The square root of 87824 is about 296.3511430719. The cubic root of 87824 is about 44.4499289528.

The spelling of 87824 in words is "eighty-seven thousand, eight hundred twenty-four".