162024 has 32 divisors (see below), whose sum is σ = 417120. Its totient is φ = 52416.

The previous prime is 162017. The next prime is 162053. The reversal of 162024 is 420261.

162024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 161994 and 162012.

It is a congruent number.

It is an unprimeable number.

162024 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 7 ways as a sum of consecutive naturals, for example, 954 + ... + 1110.

It is an arithmetic number, because the mean of its divisors is an integer number (13035).

2¹⁶²⁰²⁴ 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 162024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208560).

162024 is an abundant number, since it is smaller than the sum of its proper divisors (255096).

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

162024 is a wasteful number, since it uses less digits than its factorization.

162024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 162024 is about 402.5220490855. The cubic root of 162024 is about 54.5163096825.

Adding to 162024 its reverse (420261), we get a palindrome (582285).

The spelling of 162024 in words is "one hundred sixty-two thousand, twenty-four".