199340160 has 128 divisors (see below), whose sum is σ = 649209600. Its totient is φ = 52026368.

The previous prime is 199340117. The next prime is 199340177. The reversal of 199340160 is 61043991.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4241257 + ... + 4241303.

It is an arithmetic number, because the mean of its divisors is an integer number (5071950).

Almost surely, 2^199340160 is an apocalyptic number.

199340160 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 199340160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324604800).

199340160 is an abundant number, since it is smaller than the sum of its proper divisors (449869440).

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

199340160 is an frugal number, since it uses more digits than its factorization.

199340160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 199340160 is about 14118.7874833500. The cubic root of 199340160 is about 584.1597111193.

The spelling of 199340160 in words is "one hundred ninety-nine million, three hundred forty thousand, one hundred sixty".