199560960 has 216 divisors, whose sum is σ = 731792880. Its totient is φ = 50036736.

The previous prime is 199560947. The next prime is 199560961. The reversal of 199560960 is 69065991.

It is a super-2 number, since 2×199560960² = 79649153512243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199560961) 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, 195331 + ... + 196349.

It is an arithmetic number, because the mean of its divisors is an integer number (3387930).

Almost surely, 2^199560960 is an apocalyptic number.

199560960 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 199560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365896440).

199560960 is an abundant number, since it is smaller than the sum of its proper divisors (532231920).

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

199560960 is a wasteful number, since it uses less digits than its factorization.

199560960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 199560960 is about 14126.6046876098. The cubic root of 199560960 is about 584.3753138874.

The spelling of 199560960 in words is "one hundred ninety-nine million, five hundred sixty thousand, nine hundred sixty".