199996560 has 160 divisors (see below), whose sum is σ = 702276480. Its totient is φ = 52296192.

The previous prime is 199996529. The next prime is 199996583. The reversal of 199996560 is 65699991.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 199996497 and 199996506.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113607 + ... + 115353.

It is an arithmetic number, because the mean of its divisors is an integer number (4389228).

Almost surely, 2^199996560 is an apocalyptic number.

199996560 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 199996560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351138240).

199996560 is an abundant number, since it is smaller than the sum of its proper divisors (502279920).

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

199996560 is a wasteful number, since it uses less digits than its factorization.

199996560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 1180980, while the sum is 54.

The square root of 199996560 is about 14142.0140008416. The cubic root of 199996560 is about 584.8001947497.

The spelling of 199996560 in words is "one hundred ninety-nine million, nine hundred ninety-six thousand, five hundred sixty".