195360 has 96 divisors (see below), whose sum is σ = 689472. Its totient is φ = 46080.

The previous prime is 195359. The next prime is 195389. The reversal of 195360 is 63591.

195360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 195360.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5262 + ... + 5298.

It is an arithmetic number, because the mean of its divisors is an integer number (7182).

2¹⁹⁵³⁶⁰ is an apocalyptic number.

195360 is a gapful number since it is divisible by the number (10) 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 195360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344736).

195360 is an abundant number, since it is smaller than the sum of its proper divisors (494112).

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

195360 is a wasteful number, since it uses less digits than its factorization.

195360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 195360 is about 441.9954750900. The cubic root of 195360 is about 58.0245635156.

Subtracting from 195360 its reverse (63591), we obtain a square (131769 = 363²).

It can be divided in two parts, 195 and 360, that added together give a palindrome (555).

The spelling of 195360 in words is "one hundred ninety-five thousand, three hundred sixty".