87666 has 16 divisors (see below), whose sum is σ = 184800. Its totient is φ = 27648.

The previous prime is 87649. The next prime is 87671. The reversal of 87666 is 66678.

It is a Curzon number.

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

87666 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 271 + ... + 498.

It is an arithmetic number, because the mean of its divisors is an integer number (11550).

2⁸⁷⁶⁶⁶ is an apocalyptic number.

87666 is an abundant number, since it is smaller than the sum of its proper divisors (97134).

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 (92400).

87666 is a wasteful number, since it uses less digits than its factorization.

87666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793.

The product of its digits is 12096, while the sum is 33.

The square root of 87666 is about 296.0844474132. The cubic root of 87666 is about 44.4232570308.

The spelling of 87666 in words is "eighty-seven thousand, six hundred sixty-six".