1920800196 has 288 divisors, whose sum is σ = 6202183680. Its totient is φ = 511334208.

The previous prime is 1920800191. The next prime is 1920800209. The reversal of 1920800196 is 6910080291.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1920800196.

It is not an unprimeable number, because it can be changed into a prime (1920800191) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5233605 + ... + 5233971.

It is an arithmetic number, because the mean of its divisors is an integer number (21535360).

Almost surely, 2^1920800196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1920800196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3101091840).

1920800196 is an abundant number, since it is smaller than the sum of its proper divisors (4281383484).

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

1920800196 is a wasteful number, since it uses less digits than its factorization.

1920800196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 1920800196 is about 43826.9345950638. The cubic root of 1920800196 is about 1243.0656447208.

It can be divided in two parts, 1920800 and 196, that added together give a square (1920996 = 1386²).

The spelling of 1920800196 in words is "one billion, nine hundred twenty million, eight hundred thousand, one hundred ninety-six".