86368 has 12 divisors (see below), whose sum is σ = 170100. Its totient is φ = 43168.

The previous prime is 86357. The next prime is 86369.

86368 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86369) by changing a digit.

86368 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1318 + ... + 1381.

It is an arithmetic number, because the mean of its divisors is an integer number (14175).

2⁸⁶³⁶⁸ is an apocalyptic number.

It is an amenable number.

86368 is a deficient number, since it is larger than the sum of its proper divisors (83732).

86368 is a wasteful number, since it uses less digits than its factorization.

86368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2709 (or 2701 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 86368 is about 293.8843309876. The cubic root of 86368 is about 44.2029194853.

It can be divided in two parts, 86 and 368, that added together give a palindrome (454).

The spelling of 86368 in words is "eighty-six thousand, three hundred sixty-eight".