87696 has 80 divisors (see below), whose sum is σ = 297600. Its totient is φ = 24192.

The previous prime is 87691. The next prime is 87697. The reversal of 87696 is 69678.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 87696.

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 87696.

It is not an unprimeable number, because it can be changed into a prime (87691) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3010 + ... + 3038.

It is an arithmetic number, because the mean of its divisors is an integer number (3720).

2⁸⁷⁶⁹⁶ 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 87696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148800).

87696 is an abundant number, since it is smaller than the sum of its proper divisors (209904).

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

87696 is a wasteful number, since it uses less digits than its factorization.

87696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 41 counting only the distinct ones).

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

The square root of 87696 is about 296.1351043021. The cubic root of 87696 is about 44.4283237831.

The spelling of 87696 in words is "eighty-seven thousand, six hundred ninety-six".