196585152 has 56 divisors (see below), whose sum is σ = 521494512. Its totient is φ = 65356800.

The previous prime is 196585141. The next prime is 196585157. The reversal of 196585152 is 251585691.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (196585157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87402 + ... + 89622.

It is an arithmetic number, because the mean of its divisors is an integer number (9312402).

Almost surely, 2^196585152 is an apocalyptic number.

196585152 is a gapful number since it is divisible by the number (12) 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 196585152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260747256).

196585152 is an abundant number, since it is smaller than the sum of its proper divisors (324909360).

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

196585152 is a wasteful number, since it uses less digits than its factorization.

196585152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697 (or 2687 counting only the distinct ones).

The product of its digits is 108000, while the sum is 42.

The square root of 196585152 is about 14020.8827111562. The cubic root of 196585152 is about 581.4560641097.

The spelling of 196585152 in words is "one hundred ninety-six million, five hundred eighty-five thousand, one hundred fifty-two".