162120 has 64 divisors (see below), whose sum is σ = 558720. Its totient is φ = 36864.

The previous prime is 162119. The next prime is 162143. The reversal of 162120 is 21261.

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

It is a junction number, because it is equal to n+sod(n) for n = 162096 and 162105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 744 + ... + 936.

It is an arithmetic number, because the mean of its divisors is an integer number (8730).

2¹⁶²¹²⁰ is an apocalyptic number.

162120 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 162120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279360).

162120 is an abundant number, since it is smaller than the sum of its proper divisors (396600).

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

162120 is a wasteful number, since it uses less digits than its factorization.

162120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 162120 is about 402.6412795529. The cubic root of 162120 is about 54.5270746154.

Adding to 162120 its reverse (21261), we get a palindrome (183381).

It can be divided in two parts, 162 and 120, that added together give a palindrome (282).

The spelling of 162120 in words is "one hundred sixty-two thousand, one hundred twenty".