195877920 has 192 divisors, whose sum is σ = 713615616. Its totient is φ = 44236800.

The previous prime is 195877901. The next prime is 195877921. The reversal of 195877920 is 29778591.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 195877920.

It is not an unprimeable number, because it can be changed into a prime (195877921) 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 31 ways as a sum of consecutive naturals, for example, 325620 + ... + 326220.

It is an arithmetic number, because the mean of its divisors is an integer number (3716748).

Almost surely, 2^195877920 is an apocalyptic number.

195877920 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 195877920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356807808).

195877920 is an abundant number, since it is smaller than the sum of its proper divisors (517737696).

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

195877920 is a wasteful number, since it uses less digits than its factorization.

195877920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 48.

The square root of 195877920 is about 13995.6393208742. The cubic root of 195877920 is about 580.7579468524.

The spelling of 195877920 in words is "one hundred ninety-five million, eight hundred seventy-seven thousand, nine hundred twenty".