87096 has 32 divisors (see below), whose sum is σ = 230400. Its totient is φ = 27360.

The previous prime is 87083. The next prime is 87103. The reversal of 87096 is 69078.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

87096 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 7 ways as a sum of consecutive naturals, for example, 361 + ... + 551.

It is an arithmetic number, because the mean of its divisors is an integer number (7200).

2⁸⁷⁰⁹⁶ 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 87096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115200).

87096 is an abundant number, since it is smaller than the sum of its proper divisors (143304).

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

87096 is a wasteful number, since it uses less digits than its factorization.

87096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 87096 is about 295.1203144482. The cubic root of 87096 is about 44.3267683321.

The spelling of 87096 in words is "eighty-seven thousand, ninety-six".