196307200 has 108 divisors (see below), whose sum is σ = 499625140. Its totient is φ = 76308480.

The previous prime is 196307197. The next prime is 196307207. The reversal of 196307200 is 2703691.

It can be written as a sum of positive squares in 6 ways, for example, as 2985984 + 193321216 = 1728^2 + 13904^2 .

It is not an unprimeable number, because it can be changed into a prime (196307207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 236386 + ... + 237214.

Almost surely, 2^196307200 is an apocalyptic number.

196307200 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 196307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249812570).

196307200 is an abundant number, since it is smaller than the sum of its proper divisors (303317940).

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

196307200 is an equidigital number, since it uses as much as digits as its factorization.

196307200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 196307200 is about 14010.9671329284. The cubic root of 196307200 is about 581.1818943597.

The spelling of 196307200 in words is "one hundred ninety-six million, three hundred seven thousand, two hundred".