199963296 has 192 divisors, whose sum is σ = 661852800. Its totient is φ = 58226688.

The previous prime is 199963289. The next prime is 199963319. The reversal of 199963296 is 692369991.

199963296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212940 + ... + 213876.

It is an arithmetic number, because the mean of its divisors is an integer number (3447150).

Almost surely, 2^199963296 is an apocalyptic number.

199963296 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 199963296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330926400).

199963296 is an abundant number, since it is smaller than the sum of its proper divisors (461889504).

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

199963296 is a wasteful number, since it uses less digits than its factorization.

199963296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 974 counting only the distinct ones).

The product of its digits is 1417176, while the sum is 54.

The square root of 199963296 is about 14140.8378818230. The cubic root of 199963296 is about 584.7677710716.

The spelling of 199963296 in words is "one hundred ninety-nine million, nine hundred sixty-three thousand, two hundred ninety-six".