195384960 has 160 divisors (see below), whose sum is σ = 697940100. Its totient is φ = 52088832.

The previous prime is 195384953. The next prime is 195384979. The reversal of 195384960 is 69483591.

It is a happy number.

195384960 is a `hidden beast` number, since 19 + 538 + 49 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 193098816 + 2286144 = 13896^2 + 1512^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 49956 + ... + 53724.

Almost surely, 2^195384960 is an apocalyptic number.

195384960 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 195384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348970050).

195384960 is an abundant number, since it is smaller than the sum of its proper divisors (502555140).

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

195384960 is an equidigital number, since it uses as much as digits as its factorization.

195384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3800 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 195384960 is about 13978.0170267460. The cubic root of 195384960 is about 580.2703456295.

The spelling of 195384960 in words is "one hundred ninety-five million, three hundred eighty-four thousand, nine hundred sixty".