199997760 has 112 divisors (see below), whose sum is σ = 639055872. Its totient is φ = 52992000.

The previous prime is 199997731. The next prime is 199997761. The reversal of 199997760 is 67799991.

It is a self number, because there is not a number n which added to its sum of digits gives 199997760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199997761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173185 + ... + 174335.

It is an arithmetic number, because the mean of its divisors is an integer number (5705856).

Almost surely, 2^199997760 is an apocalyptic number.

199997760 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 199997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319527936).

199997760 is an abundant number, since it is smaller than the sum of its proper divisors (439058112).

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

199997760 is a wasteful number, since it uses less digits than its factorization.

199997760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 1928934, while the sum is 57.

The square root of 199997760 is about 14142.0564275497. The cubic root of 199997760 is about 584.8013643678.

The spelling of 199997760 in words is "one hundred ninety-nine million, nine hundred ninety-seven thousand, seven hundred sixty".