195938064 has 120 divisors (see below), whose sum is σ = 639641600. Its totient is φ = 55968192.

The previous prime is 195938063. The next prime is 195938077. The reversal of 195938064 is 460839591.

It is a happy number.

195938064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (195938063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47409 + ... + 51375.

Almost surely, 2^195938064 is an apocalyptic number.

195938064 is a gapful number since it is divisible by the number (14) 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 195938064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319820800).

195938064 is an abundant number, since it is smaller than the sum of its proper divisors (443703536).

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

195938064 is a wasteful number, since it uses less digits than its factorization.

195938064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4002 (or 3979 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 195938064 is about 13997.7878252244. The cubic root of 195938064 is about 580.8173810339.

The spelling of 195938064 in words is "one hundred ninety-five million, nine hundred thirty-eight thousand, sixty-four".