87024 has 60 divisors (see below), whose sum is σ = 268584. Its totient is φ = 24192.

The previous prime is 87013. The next prime is 87037. The reversal of 87024 is 42078.

It is a happy number.

It is a Cunningham number, because it is equal to 295²-1.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 87024.

It is an unprimeable number.

87024 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2334 + ... + 2370.

2⁸⁷⁰²⁴ is an apocalyptic number.

87024 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 87024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134292).

87024 is an abundant number, since it is smaller than the sum of its proper divisors (181560).

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

87024 is a wasteful number, since it uses less digits than its factorization.

87024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 87024 is about 294.9983050799. The cubic root of 87024 is about 44.3145503689.

The spelling of 87024 in words is "eighty-seven thousand, twenty-four".