196531200 has 198 divisors, whose sum is σ = 704499614. Its totient is φ = 52346880.

The previous prime is 196531189. The next prime is 196531217. The reversal of 196531200 is 2135691.

196531200 is a `hidden beast` number, since 1 + 9 + 653 + 1 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 82944 + 196448256 = 288^2 + 14016^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 229974 + ... + 230826.

Almost surely, 2^196531200 is an apocalyptic number.

196531200 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 196531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352249807).

196531200 is an abundant number, since it is smaller than the sum of its proper divisors (507968414).

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

196531200 is a wasteful number, since it uses less digits than its factorization.

196531200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 863 counting only the distinct ones).

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

The square root of 196531200 is about 14018.9585918498. The cubic root of 196531200 is about 581.4028664876.

Adding to 196531200 its reverse (2135691), we get a palindrome (198666891).

The spelling of 196531200 in words is "one hundred ninety-six million, five hundred thirty-one thousand, two hundred".