2172160 has 36 divisors (see below), whose sum is σ = 5206068. Its totient is φ = 868352.

The previous prime is 2172151. The next prime is 2172161. The reversal of 2172160 is 612712.

It can be written as a sum of positive squares in 2 ways, for example, as 1557504 + 614656 = 1248^2 + 784^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2172161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 432 + ... + 2128.

It is an arithmetic number, because the mean of its divisors is an integer number (144613).

2^2172160 is an apocalyptic number.

2172160 is a gapful number since it is divisible by the number (20) 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 2172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2603034).

2172160 is an abundant number, since it is smaller than the sum of its proper divisors (3033908).

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

2172160 is an equidigital number, since it uses as much as digits as its factorization.

2172160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 2172160 is about 1473.8249556850. The cubic root of 2172160 is about 129.5082010081.

Adding to 2172160 its reverse (612712), we get a palindrome (2784872).

It can be divided in two parts, 2172 and 160, that added together give a palindrome (2332).

The spelling of 2172160 in words is "two million, one hundred seventy-two thousand, one hundred sixty".