196081200 has 360 divisors, whose sum is σ = 805948416. Its totient is φ = 43200000.

The previous prime is 196081189. The next prime is 196081211. The reversal of 196081200 is 2180691.

It is an interprime number because it is at equal distance from previous prime (196081189) and next prime (196081211).

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 781075 + ... + 781325.

Almost surely, 2^196081200 is an apocalyptic number.

196081200 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 196081200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402974208).

196081200 is an abundant number, since it is smaller than the sum of its proper divisors (609867216).

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

196081200 is a wasteful number, since it uses less digits than its factorization.

196081200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 196081200 is about 14002.8996997051. The cubic root of 196081200 is about 580.9587788463.

The spelling of 196081200 in words is "one hundred ninety-six million, eighty-one thousand, two hundred".