196996800 has 672 divisors, whose sum is σ = 888943104. Its totient is φ = 36864000.

The previous prime is 196996753. The next prime is 196996801. The reversal of 196996800 is 8699691.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 196996800.

It is not an unprimeable number, because it can be changed into a prime (196996801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4804780 + ... + 4804820.

It is an arithmetic number, because the mean of its divisors is an integer number (1322832).

Almost surely, 2^196996800 is an apocalyptic number.

196996800 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 196996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444471552).

196996800 is an abundant number, since it is smaller than the sum of its proper divisors (691946304).

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

196996800 is a wasteful number, since it uses less digits than its factorization.

196996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 48.

The square root of 196996800 is about 14035.5548518753. The cubic root of 196996800 is about 581.8616361957.

The spelling of 196996800 in words is "one hundred ninety-six million, nine hundred ninety-six thousand, eight hundred".