195328640 has 128 divisors (see below), whose sum is σ = 532843920. Its totient is φ = 67829760.

The previous prime is 195328619. The next prime is 195328687. The reversal of 195328640 is 46823591.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 70425664 + 124902976 = 8392^2 + 11176^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 195328594 and 195328603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140750 + ... + 142130.

Almost surely, 2^195328640 is an apocalyptic number.

195328640 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 195328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266421960).

195328640 is an abundant number, since it is smaller than the sum of its proper divisors (337515280).

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

195328640 is a wasteful number, since it uses less digits than its factorization.

195328640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 195328640 is about 13976.0022896392. The cubic root of 195328640 is about 580.2145856801.

The spelling of 195328640 in words is "one hundred ninety-five million, three hundred twenty-eight thousand, six hundred forty".