196944000 has 256 divisors, whose sum is σ = 714130560. Its totient is φ = 47616000.

The previous prime is 196943993. The next prime is 196944001. The reversal of 196944000 is 449691.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (196944001) by changing a digit.

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, 527814 + ... + 528186.

Almost surely, 2^196944000 is an apocalyptic number.

196944000 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 196944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357065280).

196944000 is an abundant number, since it is smaller than the sum of its proper divisors (517186560).

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

196944000 is a wasteful number, since it uses less digits than its factorization.

196944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 196944000 is about 14033.6737884276. The cubic root of 196944000 is about 581.8096471286.

The spelling of 196944000 in words is "one hundred ninety-six million, nine hundred forty-four thousand".