86632 has 48 divisors (see below), whose sum is σ = 215460. Its totient is φ = 32256.

The previous prime is 86629. The next prime is 86677. The reversal of 86632 is 23668.

It can be written as a sum of positive squares in 2 ways, for example, as 86436 + 196 = 294^2 + 14^2 .

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 86597 and 86606.

It is a congruent number.

It is an unprimeable 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 11 ways as a sum of consecutive naturals, for example, 5088 + ... + 5104.

2⁸⁶⁶³² 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 86632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107730).

86632 is an abundant number, since it is smaller than the sum of its proper divisors (128828).

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

86632 is a wasteful number, since it uses less digits than its factorization.

86632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 39 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The square root of 86632 is about 294.3331445828. Note that the first 3 decimals coincide. The cubic root of 86632 is about 44.2479118467.

It can be divided in two parts, 866 and 32, that added together give a palindrome (898).

The spelling of 86632 in words is "eighty-six thousand, six hundred thirty-two".