65180 has 12 divisors (see below), whose sum is σ = 136920. Its totient is φ = 26064.

The previous prime is 65179. The next prime is 65183. The reversal of 65180 is 8156.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 3259 = 65180 / (6 + 5 + 1 + 8 + 0).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1610 + ... + 1649.

It is an arithmetic number, because the mean of its divisors is an integer number (11410).

2⁶⁵¹⁸⁰ is an apocalyptic number.

It is an amenable number.

65180 is an abundant number, since it is smaller than the sum of its proper divisors (71740).

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 (68460).

65180 is a wasteful number, since it uses less digits than its factorization.

65180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3268 (or 3266 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 65180 is about 255.3037406698. The cubic root of 65180 is about 40.2443377707.

The spelling of 65180 in words is "sixty-five thousand, one hundred eighty".