87668 has 24 divisors (see below), whose sum is σ = 182784. Its totient is φ = 36000.

The previous prime is 87649. The next prime is 87671. The reversal of 87668 is 86678.

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, 818 + ... + 918.

It is an arithmetic number, because the mean of its divisors is an integer number (7616).

2⁸⁷⁶⁶⁸ 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 87668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91392).

87668 is an abundant number, since it is smaller than the sum of its proper divisors (95116).

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

87668 is a wasteful number, since it uses less digits than its factorization.

87668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 141 counting only the distinct ones).

The product of its digits is 16128, while the sum is 35.

The square root of 87668 is about 296.0878248088. The cubic root of 87668 is about 44.4235948503.

Subtracting from 87668 its reverse (86678), we obtain a triangular number (990 = T₄₄).

The spelling of 87668 in words is "eighty-seven thousand, six hundred sixty-eight".