195505920 has 144 divisors (see below), whose sum is σ = 693897120. Its totient is φ = 52125696.

The previous prime is 195505903. The next prime is 195505927. The reversal of 195505920 is 29505591.

195505920 is a `hidden beast` number, since 19 + 5 + 50 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195505927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31732 + ... + 37388.

It is an arithmetic number, because the mean of its divisors is an integer number (4818730).

Almost surely, 2^195505920 is an apocalyptic number.

195505920 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 195505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346948560).

195505920 is an abundant number, since it is smaller than the sum of its proper divisors (498391200).

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

195505920 is an equidigital number, since it uses as much as digits as its factorization.

195505920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5687 (or 5667 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 36.

The square root of 195505920 is about 13982.3431512748. The cubic root of 195505920 is about 580.3900665837.

The spelling of 195505920 in words is "one hundred ninety-five million, five hundred five thousand, nine hundred twenty".