195663360 has 160 divisors (see below), whose sum is σ = 635896800. Its totient is φ = 51314688.

The previous prime is 195663359. The next prime is 195663409. The reversal of 195663360 is 63366591.

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

It is a super-3 number, since 3×195663360³ (a number of 26 digits) contains 333 as substring.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 560466 + ... + 560814.

It is an arithmetic number, because the mean of its divisors is an integer number (3974355).

Almost surely, 2^195663360 is an apocalyptic number.

195663360 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 195663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317948400).

195663360 is an abundant number, since it is smaller than the sum of its proper divisors (440233440).

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

195663360 is an equidigital number, since it uses as much as digits as its factorization.

195663360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 39.

The square root of 195663360 is about 13987.9719759513. The cubic root of 195663360 is about 580.5458199145.

The spelling of 195663360 in words is "one hundred ninety-five million, six hundred sixty-three thousand, three hundred sixty".