5160 has 32 divisors (see below), whose sum is σ = 15840. Its totient is φ = 1344.

The previous prime is 5153. The next prime is 5167. The reversal of 5160 is 615.

5160 = T₂₇ + T₂₈ + ... + T₃₆.

It is an interprime number because it is at equal distance from previous prime (5153) and next prime (5167).

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

It is a plaindrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 5160.

It is not an unprimeable number, because it can be changed into a prime (5167) by changing a digit.

5160 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 7 ways as a sum of consecutive naturals, for example, 99 + ... + 141.

It is an arithmetic number, because the mean of its divisors is an integer number (495).

2⁵¹⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7920).

5160 is an abundant number, since it is smaller than the sum of its proper divisors (10680).

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

5160 is a wasteful number, since it uses less digits than its factorization.

5160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 5160 is about 71.8331399843. The cubic root of 5160 is about 17.2802451954.

Adding to 5160 its reverse (615), we get a palindrome (5775).

It can be divided in two parts, 51 and 60, that added together give a palindrome (111).

The spelling of 5160 in words is "five thousand, one hundred sixty".