196248960 has 256 divisors, whose sum is σ = 714571200. Its totient is φ = 50872320.

The previous prime is 196248937. The next prime is 196248989. The reversal of 196248960 is 69842691.

It is a happy number.

196248960 is a `hidden beast` number, since 19 + 624 + 8 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 708342 + ... + 708618.

Almost surely, 2^196248960 is an apocalyptic number.

196248960 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 196248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357285600).

196248960 is an abundant number, since it is smaller than the sum of its proper divisors (518322240).

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

196248960 is a wasteful number, since it uses less digits than its factorization.

196248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 196248960 is about 14008.8886068810. Note that the first 3 decimals coincide. The cubic root of 196248960 is about 581.1244140747.

The spelling of 196248960 in words is "one hundred ninety-six million, two hundred forty-eight thousand, nine hundred sixty".