87036 has 12 divisors (see below), whose sum is σ = 203112. Its totient is φ = 29008.

The previous prime is 87013. The next prime is 87037. The reversal of 87036 is 63078.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (24) 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 junction number, because it is equal to n+sod(n) for n = 86997 and 87015.

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 87036.

It is not an unprimeable number, because it can be changed into a prime (87037) by changing a digit.

87036 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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3615 + ... + 3638.

It is an arithmetic number, because the mean of its divisors is an integer number (16926).

2⁸⁷⁰³⁶ is an apocalyptic number.

It is an amenable number.

87036 is an abundant number, since it is smaller than the sum of its proper divisors (116076).

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 (101556).

87036 is a wasteful number, since it uses less digits than its factorization.

87036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7260 (or 7258 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 87036 is about 295.0186434787. The cubic root of 87036 is about 44.3165871639.

The spelling of 87036 in words is "eighty-seven thousand, thirty-six".