87924 has 24 divisors (see below), whose sum is σ = 217728. Its totient is φ = 27520.

The previous prime is 87917. The next prime is 87931. The reversal of 87924 is 42978.

It is an interprime number because it is at equal distance from previous prime (87917) and next prime (87931).

It is a junction number, because it is equal to n+sod(n) for n = 87891 and 87900.

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 87924.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12 + ... + 419.

It is an arithmetic number, because the mean of its divisors is an integer number (9072).

2⁸⁷⁹²⁴ 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 87924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864).

87924 is an abundant number, since it is smaller than the sum of its proper divisors (129804).

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

87924 is a wasteful number, since it uses less digits than its factorization.

87924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 453 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 87924 is about 296.5198138405. The cubic root of 87924 is about 44.4667933896.

It can be divided in two parts, 879 and 24, that added together give a triangular number (903 = T₄₂).

The spelling of 87924 in words is "eighty-seven thousand, nine hundred twenty-four".