199964160 has 320 divisors, whose sum is σ = 777807360. Its totient is φ = 48291840.

The previous prime is 199964137. The next prime is 199964197. The reversal of 199964160 is 61469991.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 760189 + ... + 760451.

It is an arithmetic number, because the mean of its divisors is an integer number (2430648).

Almost surely, 2^199964160 is an apocalyptic number.

199964160 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 199964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388903680).

199964160 is an abundant number, since it is smaller than the sum of its proper divisors (577843200).

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

199964160 is a wasteful number, since it uses less digits than its factorization.

199964160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 199964160 is about 14140.8684316063. The cubic root of 199964160 is about 584.7686132905.

The spelling of 199964160 in words is "one hundred ninety-nine million, nine hundred sixty-four thousand, one hundred sixty".