195352560 has 240 divisors, whose sum is σ = 733640544. Its totient is φ = 48024576.

The previous prime is 195352537. The next prime is 195352579. The reversal of 195352560 is 65253591.

195352560 is a `hidden beast` number, since 1 + 95 + 3 + 5 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252334 + ... + 253106.

Almost surely, 2^195352560 is an apocalyptic number.

195352560 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 195352560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366820272).

195352560 is an abundant number, since it is smaller than the sum of its proper divisors (538287984).

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

195352560 is a wasteful number, since it uses less digits than its factorization.

195352560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 195352560 is about 13976.8580160206. The cubic root of 195352560 is about 580.2382691269.

The spelling of 195352560 in words is "one hundred ninety-five million, three hundred fifty-two thousand, five hundred sixty".