163200 has 96 divisors (see below), whose sum is σ = 569160. Its totient is φ = 40960.

The previous prime is 163199. The next prime is 163211. The reversal of 163200 is 2361.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 163200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9592 + ... + 9608.

2¹⁶³²⁰⁰ is an apocalyptic number.

163200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284580).

163200 is an abundant number, since it is smaller than the sum of its proper divisors (405960).

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

163200 is a wasteful number, since it uses less digits than its factorization.

163200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 163200 is about 403.9801975345. The cubic root of 163200 is about 54.6478883219.

Adding to 163200 its reverse (2361), we get a palindrome (165561).

It can be divided in two parts, 163 and 200, that added together give a palindrome (363).

The spelling of 163200 in words is "one hundred sixty-three thousand, two hundred".