864168 has 16 divisors (see below), whose sum is σ = 2160480. Its totient is φ = 288048.

The previous prime is 864167. The next prime is 864169. The reversal of 864168 is 861468.

It is an interprime number because it is at equal distance from previous prime (864167) and next prime (864169).

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

It is not an unprimeable number, because it can be changed into a prime (864167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17980 + ... + 18027.

It is an arithmetic number, because the mean of its divisors is an integer number (135030).

2⁸⁶⁴¹⁶⁸ is an apocalyptic number.

It is an amenable number.

864168 is an abundant number, since it is smaller than the sum of its proper divisors (1296312).

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

864168 is a wasteful number, since it uses less digits than its factorization.

864168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36016 (or 36012 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 864168 is about 929.6063683087. The cubic root of 864168 is about 95.2502359443.

The spelling of 864168 in words is "eight hundred sixty-four thousand, one hundred sixty-eight".