86616 has 32 divisors (see below), whose sum is σ = 241200. Its totient is φ = 28800.

The previous prime is 86599. The next prime is 86627. The reversal of 86616 is 61668.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 86616.

It is a congruent number.

It is an unprimeable number.

86616 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16 + ... + 416.

2⁸⁶⁶¹⁶ 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 86616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120600).

86616 is an abundant number, since it is smaller than the sum of its proper divisors (154584).

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

86616 is a wasteful number, since it uses less digits than its factorization.

86616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 406 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 86616 is about 294.3059632423. The cubic root of 86616 is about 44.2451876410.

The spelling of 86616 in words is "eighty-six thousand, six hundred sixteen".