162180 has 72 divisors (see below), whose sum is σ = 530712. Its totient is φ = 39936.

The previous prime is 162143. The next prime is 162209. The reversal of 162180 is 81261.

162180 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 4 ways, for example, as 49284 + 112896 = 222^2 + 336^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

162180 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 23 ways as a sum of consecutive naturals, for example, 3034 + ... + 3086.

It is an arithmetic number, because the mean of its divisors is an integer number (7371).

2¹⁶²¹⁸⁰ is an apocalyptic number.

162180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

162180 is the 255-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 162180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265356).

162180 is an abundant number, since it is smaller than the sum of its proper divisors (368532).

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

162180 is a wasteful number, since it uses less digits than its factorization.

162180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 162180 is about 402.7157806692. The cubic root of 162180 is about 54.5338005405.

The spelling of 162180 in words is "one hundred sixty-two thousand, one hundred eighty".