199912160 has 144 divisors (see below), whose sum is σ = 563126256. Its totient is φ = 66834432.

The previous prime is 199912133. The next prime is 199912169. The reversal of 199912160 is 61219991.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199912169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 336824 + ... + 337416.

It is an arithmetic number, because the mean of its divisors is an integer number (3910599).

Almost surely, 2^199912160 is an apocalyptic number.

199912160 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 199912160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281563128).

199912160 is an abundant number, since it is smaller than the sum of its proper divisors (363214096).

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

199912160 is a wasteful number, since it uses less digits than its factorization.

199912160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 38.

The square root of 199912160 is about 14139.0296696768. The cubic root of 199912160 is about 584.7179198661.

The spelling of 199912160 in words is "one hundred ninety-nine million, nine hundred twelve thousand, one hundred sixty".