86646 has 16 divisors (see below), whose sum is σ = 198144. Its totient is φ = 24744.

The previous prime is 86629. The next prime is 86677. The reversal of 86646 is 64668.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 990 + ... + 1073.

It is an arithmetic number, because the mean of its divisors is an integer number (12384).

2⁸⁶⁶⁴⁶ is an apocalyptic number.

86646 is an abundant number, since it is smaller than the sum of its proper divisors (111498).

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 (99072).

86646 is a wasteful number, since it uses less digits than its factorization.

86646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075.

The product of its digits is 6912, while the sum is 30.

The square root of 86646 is about 294.3569261968. The cubic root of 86646 is about 44.2502952516.

It can be divided in two parts, 8664 and 6, that multiplied together give a square (51984 = 228²).

The spelling of 86646 in words is "eighty-six thousand, six hundred forty-six".