3160 has 16 divisors (see below), whose sum is σ = 7200. Its totient is φ = 1248.

The previous prime is 3137. The next prime is 3163. The reversal of 3160 is 613.

3160 is a nontrivial binomial coefficient, being equal to C(80, 2).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a plaindrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3163) 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, 1 + ... + 79.

It is an arithmetic number, because the mean of its divisors is an integer number (450).

2³¹⁶⁰ is an apocalyptic number.

3160 is the 79-th triangular number and also the 40-th hexagonal number.

3160 is the 27-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600).

3160 is an abundant number, since it is smaller than the sum of its proper divisors (4040).

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

3160 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 8 representation: 3160 = (6130)₈.

3160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 3160 is about 56.2138772902. The cubic root of 3160 is about 14.6744678425.

Adding to 3160 its reverse (613), we get a palindrome (3773).

It can be divided in two parts, 31 and 60, that added together give a triangular number (91 = T₁₃).

The spelling of 3160 in words is "three thousand, one hundred sixty".