195840000 has 360 divisors, whose sum is σ = 748377630. Its totient is φ = 49152000.

The previous prime is 195839999. The next prime is 195840013. The reversal of 195840000 is 48591.

It can be written as a sum of positive squares in 5 ways, for example, as 12616704 + 183223296 = 3552^2 + 13536^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×195840000³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11519992 + ... + 11520008.

Almost surely, 2^195840000 is an apocalyptic number.

195840000 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 195840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374188815).

195840000 is an abundant number, since it is smaller than the sum of its proper divisors (552537630).

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

195840000 is an equidigital number, since it uses as much as digits as its factorization.

195840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 195840000 is about 13994.2845476287. The cubic root of 195840000 is about 580.7204681299.

Adding to 195840000 its reverse (48591), we get a palindrome (195888591).

The spelling of 195840000 in words is "one hundred ninety-five million, eight hundred forty thousand".