199966032 has 240 divisors, whose sum is σ = 689420160. Its totient is φ = 52835328.

The previous prime is 199966031. The next prime is 199966073. The reversal of 199966032 is 230669991.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199966031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1014958 + ... + 1015154.

It is an arithmetic number, because the mean of its divisors is an integer number (2872584).

Almost surely, 2^199966032 is an apocalyptic number.

199966032 is a gapful number since it is divisible by the number (12) 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 199966032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344710080).

199966032 is an abundant number, since it is smaller than the sum of its proper divisors (489454128).

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

199966032 is a wasteful number, since it uses less digits than its factorization.

199966032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 199966032 is about 14140.9346225771. The cubic root of 199966032 is about 584.7704380899.

The spelling of 199966032 in words is "one hundred ninety-nine million, nine hundred sixty-six thousand, thirty-two".