65160 has 48 divisors (see below), whose sum is σ = 212940. Its totient is φ = 17280.

The previous prime is 65147. The next prime is 65167. The reversal of 65160 is 6156.

It can be written as a sum of positive squares in 2 ways, for example, as 54756 + 10404 = 234^2 + 102^2 .

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (65167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270 + ... + 450.

2⁶⁵¹⁶⁰ is an apocalyptic number.

65160 is a gapful number since it is divisible by the number (60) 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 65160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106470).

65160 is an abundant number, since it is smaller than the sum of its proper divisors (147780).

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

65160 is a wasteful number, since it uses less digits than its factorization.

65160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 65160 is about 255.2645686342. The cubic root of 65160 is about 40.2402211240.

Subtracting from 65160 its product of nonzero digits (180), we obtain a triangular number (64980 = T₃₆₀).

It can be divided in two parts, 651 and 60, that multiplied together give a triangular number (39060 = T₂₇₉).

The spelling of 65160 in words is "sixty-five thousand, one hundred sixty".