199917648 has 180 divisors, whose sum is σ = 673969140. Its totient is φ = 55093248.

The previous prime is 199917593. The next prime is 199917689. The reversal of 199917648 is 846719991.

It can be written as a sum of positive squares in 2 ways, for example, as 152473104 + 47444544 = 12348^2 + 6888^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 199917594 and 199917603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 204136 + ... + 205112.

It is an arithmetic number, because the mean of its divisors is an integer number (3744273).

Almost surely, 2^199917648 is an apocalyptic number.

199917648 is a gapful number since it is divisible by the number (18) 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 199917648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336984570).

199917648 is an abundant number, since it is smaller than the sum of its proper divisors (474051492).

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

199917648 is a wasteful number, since it uses less digits than its factorization.

199917648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1018 counting only the distinct ones).

The product of its digits is 979776, while the sum is 54.

The square root of 199917648 is about 14139.2237410687. The cubic root of 199917648 is about 584.7232703870.

The spelling of 199917648 in words is "one hundred ninety-nine million, nine hundred seventeen thousand, six hundred forty-eight".