87468 has 24 divisors (see below), whose sum is σ = 210672. Its totient is φ = 28224.

The previous prime is 87443. The next prime is 87473. The reversal of 87468 is 86478.

It is a plaindrome in base 16.

It is a congruent number.

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, 346 + ... + 542.

It is an arithmetic number, because the mean of its divisors is an integer number (8778).

2⁸⁷⁴⁶⁸ is an apocalyptic number.

It is an amenable number.

87468 is an abundant number, since it is smaller than the sum of its proper divisors (123204).

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 (105336).

87468 is a wasteful number, since it uses less digits than its factorization.

87468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 239 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 87468 is about 295.7498943364. The cubic root of 87468 is about 44.3897874410.

Subtracting from 87468 its reverse (86478), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 87 and 468, that added together give a palindrome (555).

The spelling of 87468 in words is "eighty-seven thousand, four hundred sixty-eight".