195681920 has 128 divisors (see below), whose sum is σ = 552268800. Its totient is φ = 64880640.

The previous prime is 195681911. The next prime is 195681929. The reversal of 195681920 is 29186591.

It is a happy number.

195681920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (195681911) and next prime (195681929).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (195681929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138176 + ... + 139584.

It is an arithmetic number, because the mean of its divisors is an integer number (4314600).

Almost surely, 2^195681920 is an apocalyptic number.

195681920 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 195681920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276134400).

195681920 is an abundant number, since it is smaller than the sum of its proper divisors (356586880).

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

195681920 is a wasteful number, since it uses less digits than its factorization.

195681920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 41.

The square root of 195681920 is about 13988.6353873421. The cubic root of 195681920 is about 580.5641755735.

The spelling of 195681920 in words is "one hundred ninety-five million, six hundred eighty-one thousand, nine hundred twenty".