195920000 has 160 divisors (see below), whose sum is σ = 509836800. Its totient is φ = 74880000.

The previous prime is 195919987. The next prime is 195920071. The reversal of 195920000 is 29591.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2479961 + ... + 2480039.

It is an arithmetic number, because the mean of its divisors is an integer number (3186480).

Almost surely, 2^195920000 is an apocalyptic number.

195920000 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 195920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254918400).

195920000 is an abundant number, since it is smaller than the sum of its proper divisors (313916800).

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

195920000 is an frugal number, since it uses more digits than its factorization.

195920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 26.

The square root of 195920000 is about 13997.1425655382. The cubic root of 195920000 is about 580.7995315030.

Adding to 195920000 its reverse (29591), we get a palindrome (195949591).

The spelling of 195920000 in words is "one hundred ninety-five million, nine hundred twenty thousand".