196393248 has 120 divisors (see below), whose sum is σ = 611700012. Its totient is φ = 61599744.

The previous prime is 196393247. The next prime is 196393271. The reversal of 196393248 is 842393691.

It is a happy number.

196393248 is a `hidden beast` number, since 1 + 9 + 639 + 3 + 2 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 184199184 + 12194064 = 13572^2 + 3492^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (196393243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41836 + ... + 46292.

Almost surely, 2^196393248 is an apocalyptic number.

196393248 is a gapful number since it is divisible by the number (18) 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 196393248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305850006).

196393248 is an abundant number, since it is smaller than the sum of its proper divisors (415306764).

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

196393248 is a wasteful number, since it uses less digits than its factorization.

196393248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4496 (or 4479 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 196393248 is about 14014.0375338444. The cubic root of 196393248 is about 581.2667990982.

The spelling of 196393248 in words is "one hundred ninety-six million, three hundred ninety-three thousand, two hundred forty-eight".