199368000 has 448 divisors, whose sum is σ = 798819840. Its totient is φ = 48384000.

The previous prime is 199367999. The next prime is 199368019. The reversal of 199368000 is 863991.

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 63 ways as a sum of consecutive naturals, for example, 2807965 + ... + 2808035.

It is an arithmetic number, because the mean of its divisors is an integer number (1783080).

Almost surely, 2^199368000 is an apocalyptic number.

199368000 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 199368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399409920).

199368000 is an abundant number, since it is smaller than the sum of its proper divisors (599451840).

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

199368000 is a wasteful number, since it uses less digits than its factorization.

199368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 199368000 is about 14119.7733692861. The cubic root of 199368000 is about 584.1869045849.

The spelling of 199368000 in words is "one hundred ninety-nine million, three hundred sixty-eight thousand".