162368 has 28 divisors (see below), whose sum is σ = 335280. Its totient is φ = 77952.

The previous prime is 162359. The next prime is 162389. The reversal of 162368 is 863261.

It is an unprimeable number.

162368 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, 2723 + ... + 2781.

2¹⁶²³⁶⁸ 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 162368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167640).

162368 is an abundant number, since it is smaller than the sum of its proper divisors (172912).

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

162368 is an equidigital number, since it uses as much as digits as its factorization.

162368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 104 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

The square root of 162368 is about 402.9491283028. The cubic root of 162368 is about 54.5548643699.

The spelling of 162368 in words is "one hundred sixty-two thousand, three hundred sixty-eight".