196123200 has 336 divisors, whose sum is σ = 793699200. Its totient is φ = 41287680.

The previous prime is 196123183. The next prime is 196123211. The reversal of 196123200 is 2321691.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 436576 + ... + 437024.

It is an arithmetic number, because the mean of its divisors is an integer number (2362200).

Almost surely, 2^196123200 is an apocalyptic number.

196123200 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 196123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396849600).

196123200 is an abundant number, since it is smaller than the sum of its proper divisors (597576000).

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

196123200 is a wasteful number, since it uses less digits than its factorization.

196123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 196123200 is about 14004.3993087886. The cubic root of 196123200 is about 581.0002557561. Note that the first 3 decimals are identical.

Adding to 196123200 its reverse (2321691), we get a palindrome (198444891).

The spelling of 196123200 in words is "one hundred ninety-six million, one hundred twenty-three thousand, two hundred".