87688 has 16 divisors (see below), whose sum is σ = 167580. Its totient is φ = 43008.

The previous prime is 87683. The next prime is 87691. The reversal of 87688 is 88678.

It can be written as a sum of positive squares in 2 ways, for example, as 77284 + 10404 = 278^2 + 102^2 .

It is a super-3 number, since 3×87688³ = 2022747853334016, which contains 333 as substring.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (87683) by changing a digit.

87688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 720 + ... + 832.

2⁸⁷⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

87688 is a deficient number, since it is larger than the sum of its proper divisors (79892).

87688 is a wasteful number, since it uses less digits than its factorization.

87688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 212 counting only the distinct ones).

The product of its digits is 21504, while the sum is 37.

The square root of 87688 is about 296.1215966457. The cubic root of 87688 is about 44.4269727622.

Subtracting 87688 from its reverse (88678), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 8 and 7688, that multiplied together give a square (61504 = 248²).

The spelling of 87688 in words is "eighty-seven thousand, six hundred eighty-eight".