196993920 has 256 divisors, whose sum is σ = 669772800. Its totient is φ = 49176576.

The previous prime is 196993913. The next prime is 196993939. The reversal of 196993920 is 29399691.

196993920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 196993920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3338851 + ... + 3338909.

It is an arithmetic number, because the mean of its divisors is an integer number (2616300).

Almost surely, 2^196993920 is an apocalyptic number.

196993920 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 196993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334886400).

196993920 is an abundant number, since it is smaller than the sum of its proper divisors (472778880).

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

196993920 is a wasteful number, since it uses less digits than its factorization.

196993920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 48.

The square root of 196993920 is about 14035.4522549151. The cubic root of 196993920 is about 581.8588006680.

The spelling of 196993920 in words is "one hundred ninety-six million, nine hundred ninety-three thousand, nine hundred twenty".