199968720 has 160 divisors (see below), whose sum is σ = 727834368. Its totient is φ = 44457984.

The previous prime is 199968719. The next prime is 199968721. The reversal of 199968720 is 27869991.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (199968719) and next prime (199968721).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199968721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60552 + ... + 63768.

Almost surely, 2^199968720 is an apocalyptic number.

199968720 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 199968720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363917184).

199968720 is an abundant number, since it is smaller than the sum of its proper divisors (527865648).

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

199968720 is a wasteful number, since it uses less digits than its factorization.

199968720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3277 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The square root of 199968720 is about 14141.0296654805. The cubic root of 199968720 is about 584.7730582947.

The spelling of 199968720 in words is "one hundred ninety-nine million, nine hundred sixty-eight thousand, seven hundred twenty".