196516800 has 168 divisors, whose sum is σ = 716534000. Its totient is φ = 52392960.

The previous prime is 196516799. The next prime is 196516871. The reversal of 196516800 is 8615691.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40926 + ... + 45474.

Almost surely, 2^196516800 is an apocalyptic number.

196516800 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 196516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358267000).

196516800 is an abundant number, since it is smaller than the sum of its proper divisors (520017200).

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

196516800 is a wasteful number, since it uses less digits than its factorization.

196516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4580 (or 4559 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 196516800 is about 14018.4449922236. Note that the first 3 decimals coincide. The cubic root of 196516800 is about 581.3886661880.

The spelling of 196516800 in words is "one hundred ninety-six million, five hundred sixteen thousand, eight hundred".