196048216 has 192 divisors, whose sum is σ = 510209280. Its totient is φ = 69672960.

The previous prime is 196048201. The next prime is 196048261. The reversal of 196048216 is 612840691.

It is a happy number.

196048216 is a modest number, since divided by 48216 gives 1960 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2685556 + ... + 2685628.

It is an arithmetic number, because the mean of its divisors is an integer number (2657340).

Almost surely, 2^196048216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196048216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255104640).

196048216 is an abundant number, since it is smaller than the sum of its proper divisors (314161064).

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

196048216 is a wasteful number, since it uses less digits than its factorization.

196048216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 196048216 is about 14001.7218941100. The cubic root of 196048216 is about 580.9262014941.

It can be divided in two parts, 1960 and 48216, that added together give a square (50176 = 224²).

The spelling of 196048216 in words is "one hundred ninety-six million, forty-eight thousand, two hundred sixteen".