199920000 has 480 divisors, whose sum is σ = 817332120. Its totient is φ = 43008000.

The previous prime is 199919987. The next prime is 199920001. The reversal of 199920000 is 29991.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 199920000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199920001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11759992 + ... + 11760008.

Almost surely, 2^199920000 is an apocalyptic number.

199920000 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 199920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408666060).

199920000 is an abundant number, since it is smaller than the sum of its proper divisors (617412120).

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

199920000 is an equidigital number, since it uses as much as digits as its factorization.

199920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 30.

The square root of 199920000 is about 14139.3069137069. The cubic root of 199920000 is about 584.7255634374.

Adding to 199920000 its reverse (29991), we get a palindrome (199949991).

The spelling of 199920000 in words is "one hundred ninety-nine million, nine hundred twenty thousand".