162320 has 20 divisors (see below), whose sum is σ = 377580. Its totient is φ = 64896.

The previous prime is 162293. The next prime is 162343. The reversal of 162320 is 23261.

It can be written as a sum of positive squares in 2 ways, for example, as 123904 + 38416 = 352^2 + 196^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 162295 and 162304.

It is a congruent number.

It is an unprimeable number.

162320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 935 + ... + 1094.

It is an arithmetic number, because the mean of its divisors is an integer number (18879).

2¹⁶²³²⁰ is an apocalyptic number.

162320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

162320 is an abundant number, since it is smaller than the sum of its proper divisors (215260).

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

162320 is a wasteful number, since it uses less digits than its factorization.

162320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 162320 is about 402.8895630319. The cubic root of 162320 is about 54.5494879172.

Adding to 162320 its reverse (23261), we get a palindrome (185581).

The spelling of 162320 in words is "one hundred sixty-two thousand, three hundred twenty".