86560 has 24 divisors (see below), whose sum is σ = 204876. Its totient is φ = 34560.
The previous prime is 86539. The next prime is 86561. The reversal of 86560 is 6568.
It can be written as a sum of positive squares in 2 ways, for example, as 85264 + 1296 = 292^2 + 36^2 .
It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.
It is an Ulam number.
It is a plaindrome in base 14.
It is not an unprimeable number, because it can be changed into a prime (86561) by changing a digit.
86560 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 3 ways as a sum of consecutive naturals, for example, 111 + ... + 430.
286560 is an apocalyptic number.
86560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.
It is an amenable number.
86560 is an abundant number, since it is smaller than the sum of its proper divisors (118316).
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 (102438).
86560 is a wasteful number, since it uses less digits than its factorization.
86560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 556 (or 548 counting only the distinct ones).
The product of its (nonzero) digits is 1440, while the sum is 25.
The square root of 86560 is about 294.2108087749. The cubic root of 86560 is about 44.2356502781.
It can be divided in two parts, 86 and 560, that added together give a palindrome (646).
The spelling of 86560 in words is "eighty-six thousand, five hundred sixty".
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