86468 has 6 divisors (see below), whose sum is σ = 151326. Its totient is φ = 43232.

The previous prime is 86467. The next prime is 86477.

86468 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 61504 + 24964 = 248^2 + 158^2 .

It is not an unprimeable number, because it can be changed into a prime (86461) by changing a digit.

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 as a sum of consecutive naturals, namely, 10805 + ... + 10812.

It is an arithmetic number, because the mean of its divisors is an integer number (25221).

2⁸⁶⁴⁶⁸ is an apocalyptic number.

It is an amenable number.

86468 is a deficient number, since it is larger than the sum of its proper divisors (64858).

86468 is a wasteful number, since it uses less digits than its factorization.

86468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21621 (or 21619 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 86468 is about 294.0544167327. The cubic root of 86468 is about 44.2199728193.

Subtracting from 86468 its sum of digits (32), we obtain a square (86436 = 294²).

The spelling of 86468 in words is "eighty-six thousand, four hundred sixty-eight".