87636 has 24 divisors (see below), whose sum is σ = 209440. Its totient is φ = 28512.

The previous prime is 87631. The next prime is 87641. The reversal of 87636 is 63678.

87636 = T₅₁ + T₅₂ + ... + T₈₆.

It is an interprime number because it is at equal distance from previous prime (87631) and next prime (87641).

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 not an unprimeable number, because it can be changed into a prime (87631) by changing a digit.

87636 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 7 ways as a sum of consecutive naturals, for example, 750 + ... + 858.

2⁸⁷⁶³⁶ is an apocalyptic number.

It is an amenable number.

87636 is an abundant number, since it is smaller than the sum of its proper divisors (121804).

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 (104720).

87636 is a wasteful number, since it uses less digits than its factorization.

87636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 181 counting only the distinct ones).

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

The square root of 87636 is about 296.0337818561. The cubic root of 87636 is about 44.4181891225.

The spelling of 87636 in words is "eighty-seven thousand, six hundred thirty-six".