195807040 has 168 divisors, whose sum is σ = 553349160. Its totient is φ = 65556480.

The previous prime is 195806987. The next prime is 195807061. The reversal of 195807040 is 40708591.

It is a happy number.

195807040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 30976 + 195776064 = 176^2 + 13992^2 .

It is a junction number, because it is equal to n+sod(n) for n = 195806987 and 195807005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 503166 + ... + 503554.

It is an arithmetic number, because the mean of its divisors is an integer number (3293745).

Almost surely, 2^195807040 is an apocalyptic number.

195807040 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 195807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276674580).

195807040 is an abundant number, since it is smaller than the sum of its proper divisors (357542120).

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

195807040 is a wasteful number, since it uses less digits than its factorization.

195807040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 195807040 is about 13993.1068744579. The cubic root of 195807040 is about 580.6878877573.

The spelling of 195807040 in words is "one hundred ninety-five million, eight hundred seven thousand, forty".