196187200 has 168 divisors, whose sum is σ = 537447744. Its totient is φ = 69888000.

The previous prime is 196187177. The next prime is 196187219. The reversal of 196187200 is 2781691.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 1249522 + ... + 1249678.

Almost surely, 2^196187200 is an apocalyptic number.

196187200 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 196187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268723872).

196187200 is an abundant number, since it is smaller than the sum of its proper divisors (341260544).

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

196187200 is a wasteful number, since it uses less digits than its factorization.

196187200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 196187200 is about 14006.6841186628. The cubic root of 196187200 is about 581.0634472813.

The spelling of 196187200 in words is "one hundred ninety-six million, one hundred eighty-seven thousand, two hundred".