195301920 has 192 divisors, whose sum is σ = 686278656. Its totient is φ = 46279680.

The previous prime is 195301919. The next prime is 195301973. The reversal of 195301920 is 29103591.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247767 + ... + 248553.

It is an arithmetic number, because the mean of its divisors is an integer number (3574368).

Almost surely, 2^195301920 is an apocalyptic number.

195301920 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 195301920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343139328).

195301920 is an abundant number, since it is smaller than the sum of its proper divisors (490976736).

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

195301920 is a wasteful number, since it uses less digits than its factorization.

195301920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 195301920 is about 13975.0463326602. The cubic root of 195301920 is about 580.1881276370.

The spelling of 195301920 in words is "one hundred ninety-five million, three hundred one thousand, nine hundred twenty".