199939600 has 135 divisors (see below), whose sum is σ = 564367431. Its totient is φ = 67872000.

The previous prime is 199939589. The next prime is 199939631. The reversal of 199939600 is 6939991.

The square root of 199939600 is 14140.

It is a perfect power (a square), and thus also a powerful number.

199939600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 36917776 + 163021824 = 6076^2 + 12768^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1979550 + ... + 1979650.

Almost surely, 2^199939600 is an apocalyptic number.

199939600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

199939600 is the 14140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199939600

199939600 is an abundant number, since it is smaller than the sum of its proper divisors (364427831).

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

199939600 is a wasteful number, since it uses less digits than its factorization.

199939600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 118098, while the sum is 46.

The cubic root of 199939600 is about 584.7446714915.

The spelling of 199939600 in words is "one hundred ninety-nine million, nine hundred thirty-nine thousand, six hundred".