162816 has 44 divisors (see below), whose sum is σ = 442152. Its totient is φ = 53248.

The previous prime is 162791. The next prime is 162821. The reversal of 162816 is 618261.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

162816 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3046 + ... + 3098.

2¹⁶²⁸¹⁶ is an apocalyptic number.

162816 is a gapful number since it is divisible by the number (16) 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 162816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221076).

162816 is an abundant number, since it is smaller than the sum of its proper divisors (279336).

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

162816 is an equidigital number, since it uses as much as digits as its factorization.

162816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 58 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 162816 is about 403.5046468134. The cubic root of 162816 is about 54.6049935725.

The spelling of 162816 in words is "one hundred sixty-two thousand, eight hundred sixteen".