87168 has 32 divisors (see below), whose sum is σ = 232560. Its totient is φ = 28928.

The previous prime is 87151. The next prime is 87179. The reversal of 87168 is 86178.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 271 + ... + 497.

2⁸⁷¹⁶⁸ 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 87168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116280).

87168 is an abundant number, since it is smaller than the sum of its proper divisors (145392).

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

87168 is a wasteful number, since it uses less digits than its factorization.

87168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 232 counting only the distinct ones).

The product of its digits is 2688, while the sum is 30.

The square root of 87168 is about 295.2422733959. The cubic root of 87168 is about 44.3389795637.

Subtracting from 87168 its reverse (86178), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 871 and 68, that added together give a palindrome (939).

The spelling of 87168 in words is "eighty-seven thousand, one hundred sixty-eight".