199721376 has 120 divisors (see below), whose sum is σ = 607858020. Its totient is φ = 64253952.

The previous prime is 199721371. The next prime is 199721383. The reversal of 199721376 is 673127991.

It can be written as a sum of positive squares in 2 ways, for example, as 198133776 + 1587600 = 14076^2 + 1260^2 .

It is not an unprimeable number, because it can be changed into a prime (199721371) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 73840 + ... + 76496.

Almost surely, 2^199721376 is an apocalyptic number.

199721376 is a gapful number since it is divisible by the number (16) 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 199721376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303929010).

199721376 is an abundant number, since it is smaller than the sum of its proper divisors (408136644).

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

199721376 is a wasteful number, since it uses less digits than its factorization.

199721376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708 (or 2691 counting only the distinct ones).

The product of its digits is 142884, while the sum is 45.

The square root of 199721376 is about 14132.2813444964. The cubic root of 199721376 is about 584.5318542636.

The spelling of 199721376 in words is "one hundred ninety-nine million, seven hundred twenty-one thousand, three hundred seventy-six".