195792640 has 72 divisors (see below), whose sum is σ = 472556448. Its totient is φ = 77721600.

The previous prime is 195792617. The next prime is 195792673. The reversal of 195792640 is 46297591.

It is a happy number.

195792640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 192774 + ... + 193786.

It is an arithmetic number, because the mean of its divisors is an integer number (6563284).

Almost surely, 2^195792640 is an apocalyptic number.

195792640 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 195792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236278224).

195792640 is an abundant number, since it is smaller than the sum of its proper divisors (276763808).

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

195792640 is a wasteful number, since it uses less digits than its factorization.

195792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The square root of 195792640 is about 13992.5923259416. The cubic root of 195792640 is about 580.6736524663.

The spelling of 195792640 in words is "one hundred ninety-five million, seven hundred ninety-two thousand, six hundred forty".