195793920 has 264 divisors, whose sum is σ = 776615424. Its totient is φ = 44679168.

The previous prime is 195793907. The next prime is 195793937. The reversal of 195793920 is 29397591.

It is a happy number.

195793920 is a `hidden beast` number, since 195 + 79 + 392 + 0 = 666.

195793920 is digitally balanced in base 3, 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322257 + ... + 322863.

Almost surely, 2^195793920 is an apocalyptic number.

195793920 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 195793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388307712).

195793920 is an abundant number, since it is smaller than the sum of its proper divisors (580821504).

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

195793920 is a wasteful number, since it uses less digits than its factorization.

195793920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 195793920 is about 13992.6380643537. The cubic root of 195793920 is about 580.6749178538.

The spelling of 195793920 in words is "one hundred ninety-five million, seven hundred ninety-three thousand, nine hundred twenty".