163864 has 8 divisors (see below), whose sum is σ = 307260. Its totient is φ = 81928.

The previous prime is 163861. The next prime is 163871. The reversal of 163864 is 468361.

It is a tau number, because it is divible by the number of its divisors (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10234 + ... + 10249.

163864 is a Friedman number, since it can be written as 8*(3+4^6*(6-1)), using all its digits and the basic arithmetic operations.

2¹⁶³⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

163864 is a deficient number, since it is larger than the sum of its proper divisors (143396).

163864 is a wasteful number, since it uses less digits than its factorization.

163864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20489 (or 20485 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 163864 is about 404.8011857690. The cubic root of 163864 is about 54.7219020006.

The spelling of 163864 in words is "one hundred sixty-three thousand, eight hundred sixty-four".