195666240 has 224 divisors, whose sum is σ = 774825984. Its totient is φ = 40642560.

The previous prime is 195666187. The next prime is 195666241. The reversal of 195666240 is 42666591.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195666241) 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, 72597 + ... + 75243.

Almost surely, 2^195666240 is an apocalyptic number.

195666240 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 195666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387412992).

195666240 is an abundant number, since it is smaller than the sum of its proper divisors (579159744).

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

195666240 is a wasteful number, since it uses less digits than its factorization.

195666240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2685 (or 2675 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 195666240 is about 13988.0749211605. The cubic root of 195666240 is about 580.5486682825.

It can be divided in two parts, 195 and 666240, that added together give a triangular number (666435 = T₁₁₅₄).

The spelling of 195666240 in words is "one hundred ninety-five million, six hundred sixty-six thousand, two hundred forty".