199794000 has 320 divisors, whose sum is σ = 757665792. Its totient is φ = 44352000.

The previous prime is 199793959. The next prime is 199794037. The reversal of 199794000 is 497991.

199794000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 199794000.

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, 2813965 + ... + 2814035.

Almost surely, 2^199794000 is an apocalyptic number.

199794000 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 199794000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378832896).

199794000 is an abundant number, since it is smaller than the sum of its proper divisors (557871792).

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

199794000 is a wasteful number, since it uses less digits than its factorization.

199794000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 39.

The square root of 199794000 is about 14134.8505474943. The cubic root of 199794000 is about 584.6026961164.

The spelling of 199794000 in words is "one hundred ninety-nine million, seven hundred ninety-four thousand".