196368800 has 72 divisors (see below), whose sum is σ = 504655200. Its totient is φ = 74407680.

The previous prime is 196368793. The next prime is 196368829. The reversal of 196368800 is 8863691.

It is a happy number.

It is a super-2 number, since 2×196368800² = 77121411226880000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 8741 + ... + 21659.

It is an arithmetic number, because the mean of its divisors is an integer number (7009100).

Almost surely, 2^196368800 is an apocalyptic number.

196368800 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 196368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252327600).

196368800 is an abundant number, since it is smaller than the sum of its proper divisors (308286400).

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

196368800 is a wasteful number, since it uses less digits than its factorization.

196368800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12958 (or 12945 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 196368800 is about 14013.1652384463. The cubic root of 196368800 is about 581.2426784448.

The spelling of 196368800 in words is "one hundred ninety-six million, three hundred sixty-eight thousand, eight hundred".