196016800 has 288 divisors, whose sum is σ = 607461120. Its totient is φ = 60211200.

The previous prime is 196016797. The next prime is 196016809. The reversal of 196016800 is 8610691.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (196016809) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2760765 + ... + 2760835.

It is an arithmetic number, because the mean of its divisors is an integer number (2109240).

Almost surely, 2^196016800 is an apocalyptic number.

196016800 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 196016800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303730560).

196016800 is an abundant number, since it is smaller than the sum of its proper divisors (411444320).

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

196016800 is a wasteful number, since it uses less digits than its factorization.

196016800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 196016800 is about 14000.5999871434. The cubic root of 196016800 is about 580.8951694129.

The spelling of 196016800 in words is "one hundred ninety-six million, sixteen thousand, eight hundred".