199997600 has 72 divisors (see below), whose sum is σ = 532653408. Its totient is φ = 72723200.

The previous prime is 199997599. The next prime is 199997641. The reversal of 199997600 is 6799991.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2564 + ... + 20163.

It is an arithmetic number, because the mean of its divisors is an integer number (7397964).

Almost surely, 2^199997600 is an apocalyptic number.

199997600 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 199997600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266326704).

199997600 is an abundant number, since it is smaller than the sum of its proper divisors (332655808).

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

199997600 is a wasteful number, since it uses less digits than its factorization.

199997600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22758 (or 22745 counting only the distinct ones).

The product of its (nonzero) digits is 275562, while the sum is 50.

The square root of 199997600 is about 14142.0507706626. The cubic root of 199997600 is about 584.8012084190.

It can be divided in two parts, 1999 and 97600, that added together give a palindrome (99599).

The spelling of 199997600 in words is "one hundred ninety-nine million, nine hundred ninety-seven thousand, six hundred".