199866240 has 192 divisors, whose sum is σ = 788916960. Its totient is φ = 45674496.

The previous prime is 199866239. The next prime is 199866253. The reversal of 199866240 is 42668991.

It is a happy number.

199866240 is a `hidden beast` number, since 19 + 9 + 8 + 6 + 624 + 0 = 666.

199866240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37842 + ... + 42798.

Almost surely, 2^199866240 is an apocalyptic number.

199866240 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 199866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394458480).

199866240 is an abundant number, since it is smaller than the sum of its proper divisors (589050720).

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

199866240 is a wasteful number, since it uses less digits than its factorization.

199866240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4989 (or 4974 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 199866240 is about 14137.4057026033. The cubic root of 199866240 is about 584.6731463632.

The spelling of 199866240 in words is "one hundred ninety-nine million, eight hundred sixty-six thousand, two hundred forty".