199903680 has 224 divisors, whose sum is σ = 747247680. Its totient is φ = 50135040.

The previous prime is 199903673. The next prime is 199903723. The reversal of 199903680 is 86309991.

It is a super-2 number, since 2×199903680² = 79922962555084800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146200 + ... + 147560.

Almost surely, 2^199903680 is an apocalyptic number.

199903680 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 199903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373623840).

199903680 is an abundant number, since it is smaller than the sum of its proper divisors (547344000).

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

199903680 is a wasteful number, since it uses less digits than its factorization.

199903680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 199903680 is about 14138.7297873607. The cubic root of 199903680 is about 584.7096521047.

The spelling of 199903680 in words is "one hundred ninety-nine million, nine hundred three thousand, six hundred eighty".