87144 has 16 divisors (see below), whose sum is σ = 217920. Its totient is φ = 29040.

The previous prime is 87133. The next prime is 87149. The reversal of 87144 is 44178.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 3631 = 87144 / (8 + 7 + 1 + 4 + 4).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87144.

It is not an unprimeable number, because it can be changed into a prime (87149) by changing a digit.

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, 1792 + ... + 1839.

It is an arithmetic number, because the mean of its divisors is an integer number (13620).

2⁸⁷¹⁴⁴ is an apocalyptic number.

It is an amenable number.

87144 is an abundant number, since it is smaller than the sum of its proper divisors (130776).

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 (108960).

87144 is a wasteful number, since it uses less digits than its factorization.

87144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640 (or 3636 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 87144 is about 295.2016260118. The cubic root of 87144 is about 44.3349099005.

It can be divided in two parts, 87 and 144, that added together give a triangular number (231 = T₂₁).

The spelling of 87144 in words is "eighty-seven thousand, one hundred forty-four".