195164640 has 360 divisors, whose sum is σ = 772240392. Its totient is φ = 46033920.

The previous prime is 195164617. The next prime is 195164647. The reversal of 195164640 is 46461591.

195164640 is a `hidden beast` number, since 1 + 9 + 5 + 1 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 195164595 and 195164604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195164647) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5274702 + ... + 5274738.

Almost surely, 2^195164640 is an apocalyptic number.

195164640 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 195164640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386120196).

195164640 is an abundant number, since it is smaller than the sum of its proper divisors (577075752).

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

195164640 is a wasteful number, since it uses less digits than its factorization.

195164640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 195164640 is about 13970.1338576264. The cubic root of 195164640 is about 580.0521554367.

The spelling of 195164640 in words is "one hundred ninety-five million, one hundred sixty-four thousand, six hundred forty".