195883920 has 400 divisors, whose sum is σ = 752600640. Its totient is φ = 47029248.

The previous prime is 195883903. The next prime is 195883967. The reversal of 195883920 is 29388591.

It is a happy number.

195883920 is a `hidden beast` number, since 19 + 588 + 39 + 20 = 666.

195883920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×195883920² = 76741020229132800, which contains 22 as substring.

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4555419 + ... + 4555461.

Almost surely, 2^195883920 is an apocalyptic number.

195883920 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 195883920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376300320).

195883920 is an abundant number, since it is smaller than the sum of its proper divisors (556716720).

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

195883920 is a wasteful number, since it uses less digits than its factorization.

195883920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 195883920 is about 13995.8536717129. The cubic root of 195883920 is about 580.7638765867.

The spelling of 195883920 in words is "one hundred ninety-five million, eight hundred eighty-three thousand, nine hundred twenty".