196513200 has 540 divisors, whose sum is σ = 823038840. Its totient is φ = 43130880.

The previous prime is 196513169. The next prime is 196513223. The reversal of 196513200 is 2315691.

196513200 is a `hidden beast` number, since 1 + 9 + 651 + 3 + 2 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 10342791 + ... + 10342809.

It is an arithmetic number, because the mean of its divisors is an integer number (1524146).

Almost surely, 2^196513200 is an apocalyptic number.

196513200 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 196513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411519420).

196513200 is an abundant number, since it is smaller than the sum of its proper divisors (626525640).

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

196513200 is a wasteful number, since it uses less digits than its factorization.

196513200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 196513200 is about 14018.3165893769. The cubic root of 196513200 is about 581.3851160047.

Adding to 196513200 its reverse (2315691), we get a palindrome (198828891).

The spelling of 196513200 in words is "one hundred ninety-six million, five hundred thirteen thousand, two hundred".