86544 has 30 divisors (see below), whose sum is σ = 242606. Its totient is φ = 28800.

The previous prime is 86539. The next prime is 86561. The reversal of 86544 is 44568.

86544 is a `hidden beast` number, since 8 + 654 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82944 + 3600 = 288^2 + 60^2 .

It is a plaindrome in base 14.

It is a nialpdrome in base 10 and base 12.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86544.

It is an unprimeable number.

86544 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 (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 157 + ... + 444.

2⁸⁶⁵⁴⁴ is an apocalyptic number.

It is an amenable number.

86544 is an abundant number, since it is smaller than the sum of its proper divisors (156062).

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

86544 is a wasteful number, since it uses less digits than its factorization.

86544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 606 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 86544 is about 294.1836161312. The cubic root of 86544 is about 44.2329245617.

It can be divided in two parts, 865 and 44, that added together give a palindrome (909).

The spelling of 86544 in words is "eighty-six thousand, five hundred forty-four".