196304000 has 64 divisors (see below), whose sum is σ = 488100600. Its totient is φ = 78515200.

The previous prime is 196303993. The next prime is 196304051. The reversal of 196304000 is 403691.

It can be written as a sum of positive squares in 4 ways, for example, as 110334016 + 85969984 = 10504^2 + 9272^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9866 + ... + 22134.

Almost surely, 2^196304000 is an apocalyptic number.

196304000 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 196304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244050300).

196304000 is an abundant number, since it is smaller than the sum of its proper divisors (291796600).

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

196304000 is an equidigital number, since it uses as much as digits as its factorization.

196304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12298 (or 12276 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 196304000 is about 14010.8529362063. The cubic root of 196304000 is about 581.1787363975.

Adding to 196304000 its reverse (403691), we get a palindrome (196707691).

The spelling of 196304000 in words is "one hundred ninety-six million, three hundred four thousand".