196915200 has 156 divisors (see below), whose sum is σ = 652069128. Its totient is φ = 52428800.

The previous prime is 196915171. The next prime is 196915217. The reversal of 196915200 is 2519691.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 306880 + ... + 307520.

Almost surely, 2^196915200 is an apocalyptic number.

196915200 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 196915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326034564).

196915200 is an abundant number, since it is smaller than the sum of its proper divisors (455153928).

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

196915200 is an equidigital number, since it uses as much as digits as its factorization.

196915200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 33.

The square root of 196915200 is about 14032.6476475396. The cubic root of 196915200 is about 581.7812855390.

The spelling of 196915200 in words is "one hundred ninety-six million, nine hundred fifteen thousand, two hundred".