196585120 has 24 divisors (see below), whose sum is σ = 464432724. Its totient is φ = 78633984.

The previous prime is 196585111. The next prime is 196585133. The reversal of 196585120 is 21585691.

It can be written as a sum of positive squares in 2 ways, for example, as 188128656 + 8456464 = 13716^2 + 2908^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 196585120.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 614169 + ... + 614488.

Almost surely, 2^196585120 is an apocalyptic number.

196585120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

196585120 is an abundant number, since it is smaller than the sum of its proper divisors (267847604).

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

196585120 is a wasteful number, since it uses less digits than its factorization.

196585120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228672 (or 1228664 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 37.

The square root of 196585120 is about 14020.8815700012. The cubic root of 196585120 is about 581.4560325600.

The spelling of 196585120 in words is "one hundred ninety-six million, five hundred eighty-five thousand, one hundred twenty".