168864 has 24 divisors (see below), whose sum is σ = 443520. Its totient is φ = 56256.

The previous prime is 168863. The next prime is 168869. The reversal of 168864 is 468861.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (168863) 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 in 3 ways as a sum of consecutive naturals, for example, 784 + ... + 975.

It is an arithmetic number, because the mean of its divisors is an integer number (18480).

2¹⁶⁸⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

168864 is an abundant number, since it is smaller than the sum of its proper divisors (274656).

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

168864 is a wasteful number, since it uses less digits than its factorization.

168864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1764 counting only the distinct ones).

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

The square root of 168864 is about 410.9306510836. The cubic root of 168864 is about 55.2729135182.

The spelling of 168864 in words is "one hundred sixty-eight thousand, eight hundred sixty-four".