195580240 has 80 divisors (see below), whose sum is σ = 497111040. Its totient is φ = 71239680.

The previous prime is 195580237. The next prime is 195580267. The reversal of 195580240 is 42085591.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 195580196 and 195580205.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 39841 + ... + 44479.

It is an arithmetic number, because the mean of its divisors is an integer number (6213888).

Almost surely, 2^195580240 is an apocalyptic number.

195580240 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 195580240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248555520).

195580240 is an abundant number, since it is smaller than the sum of its proper divisors (301530800).

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

195580240 is a wasteful number, since it uses less digits than its factorization.

195580240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4700 (or 4694 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 195580240 is about 13985.0005362889. Note that the first 3 decimals coincide. The cubic root of 195580240 is about 580.4636008023.

The spelling of 195580240 in words is "one hundred ninety-five million, five hundred eighty thousand, two hundred forty".