199720960 has 128 divisors (see below), whose sum is σ = 509600160. Its totient is φ = 74973184.

The previous prime is 199720921. The next prime is 199720967. The reversal of 199720960 is 69027991.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199720967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3768294 + ... + 3768346.

Almost surely, 2^199720960 is an apocalyptic number.

199720960 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 199720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254800080).

199720960 is an abundant number, since it is smaller than the sum of its proper divisors (309879200).

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

199720960 is an frugal number, since it uses more digits than its factorization.

199720960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 43.

The square root of 199720960 is about 14132.2666264121. The cubic root of 199720960 is about 584.5314484225.

The spelling of 199720960 in words is "one hundred ninety-nine million, seven hundred twenty thousand, nine hundred sixty".