87366 has 8 divisors (see below), whose sum is σ = 174744. Its totient is φ = 29120.

The previous prime is 87359. The next prime is 87383. The reversal of 87366 is 66378.

It is a sphenic number, since it is the product of 3 distinct primes.

87366 is an admirable number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87366.

It is an unprimeable number.

87366 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 3 ways as a sum of consecutive naturals, for example, 7275 + ... + 7286.

It is an arithmetic number, because the mean of its divisors is an integer number (21843).

2⁸⁷³⁶⁶ is an apocalyptic number.

87366 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (87372).

87366 is a wasteful number, since it uses less digits than its factorization.

87366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14566.

The product of its digits is 6048, while the sum is 30.

The square root of 87366 is about 295.5774010306. The cubic root of 87366 is about 44.3725258159.

Subtracting from 87366 its product of digits (6048), we obtain a palindrome (81318).

It can be divided in two parts, 873 and 66, that added together give a palindrome (939).

The spelling of 87366 in words is "eighty-seven thousand, three hundred sixty-six".