195834240 has 256 divisors, whose sum is σ = 793152000. Its totient is φ = 44734464.

The previous prime is 195834211. The next prime is 195834241. The reversal of 195834240 is 42438591.

It is a super-3 number, since 3×195834240³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 195834195 and 195834204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195834241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120151 + ... + 121769.

It is an arithmetic number, because the mean of its divisors is an integer number (3098250).

Almost surely, 2^195834240 is an apocalyptic number.

195834240 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 195834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396576000).

195834240 is an abundant number, since it is smaller than the sum of its proper divisors (597317760).

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

195834240 is a wasteful number, since it uses less digits than its factorization.

195834240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 195834240 is about 13994.0787478133. The cubic root of 195834240 is about 580.7147747362.

The spelling of 195834240 in words is "one hundred ninety-five million, eight hundred thirty-four thousand, two hundred forty".