87966 has 24 divisors (see below), whose sum is σ = 198744. Its totient is φ = 29160.

The previous prime is 87961. The next prime is 87973. The reversal of 87966 is 66978.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 87966.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 396 + ... + 576.

It is an arithmetic number, because the mean of its divisors is an integer number (8281).

2⁸⁷⁹⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99372).

87966 is an abundant number, since it is smaller than the sum of its proper divisors (110778).

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

87966 is a wasteful number, since it uses less digits than its factorization.

87966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 186 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 87966 is about 296.5906269591. The cubic root of 87966 is about 44.4738726399.

The spelling of 87966 in words is "eighty-seven thousand, nine hundred sixty-six".