163200864 has 144 divisors (see below), whose sum is σ = 465438960. Its totient is φ = 49996800.

The previous prime is 163200859. The next prime is 163200871. The reversal of 163200864 is 468002361.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2675394 + ... + 2675454.

It is an arithmetic number, because the mean of its divisors is an integer number (3232215).

Almost surely, 2^163200864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163200864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232719480).

163200864 is an abundant number, since it is smaller than the sum of its proper divisors (302238096).

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

163200864 is a wasteful number, since it uses less digits than its factorization.

163200864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 163200864 is about 12775.0093542040. The cubic root of 163200864 is about 546.4798475917.

The spelling of 163200864 in words is "one hundred sixty-three million, two hundred thousand, eight hundred sixty-four".