195120 has 60 divisors (see below), whose sum is σ = 657696. Its totient is φ = 51840.

The previous prime is 195103. The next prime is 195121. The reversal of 195120 is 21591.

195120 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 (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 195093 and 195102.

It is not an unprimeable number, because it can be changed into a prime (195121) by changing a digit.

195120 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 11 ways as a sum of consecutive naturals, for example, 585 + ... + 855.

2¹⁹⁵¹²⁰ is an apocalyptic number.

195120 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 195120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328848).

195120 is an abundant number, since it is smaller than the sum of its proper divisors (462576).

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

195120 is a wasteful number, since it uses less digits than its factorization.

195120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 195120 is about 441.7238956633. The cubic root of 195120 is about 58.0007926963. Note that the first 3 decimals are identical.

The spelling of 195120 in words is "one hundred ninety-five thousand, one hundred twenty".