195664560 has 480 divisors, whose sum is σ = 818614272. Its totient is φ = 37601280.

The previous prime is 195664549. The next prime is 195664597. The reversal of 195664560 is 65466591.

195664560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6311745 + ... + 6311775.

Almost surely, 2^195664560 is an apocalyptic number.

195664560 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 195664560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409307136).

195664560 is an abundant number, since it is smaller than the sum of its proper divisors (622949712).

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

195664560 is a wasteful number, since it uses less digits than its factorization.

195664560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 195664560 is about 13988.0148698806. The cubic root of 195664560 is about 580.5470067379.

The spelling of 195664560 in words is "one hundred ninety-five million, six hundred sixty-four thousand, five hundred sixty".