16180 has 12 divisors (see below), whose sum is σ = 34020. Its totient is φ = 6464.

The previous prime is 16141. The next prime is 16183. The reversal of 16180 is 8161.

16180 = T₆ + T₇ + ... + T₄₅.

It can be written as a sum of positive squares in 2 ways, for example, as 10404 + 5776 = 102^2 + 76^2 .

It is a plaindrome in base 11.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16183) by changing a digit.

16180 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, 385 + ... + 424.

It is an arithmetic number, because the mean of its divisors is an integer number (2835).

2¹⁶¹⁸⁰ is an apocalyptic number.

16180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16180 is an abundant number, since it is smaller than the sum of its proper divisors (17840).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17010).

16180 is a wasteful number, since it uses less digits than its factorization.

16180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 16180 is about 127.2006289293. The cubic root of 16180 is about 25.2925629221.

It can be divided in two parts, 161 and 80, that multiplied together give a triangular number (12880 = T₁₆₀).

The spelling of 16180 in words is "sixteen thousand, one hundred eighty".