199954608 has 80 divisors (see below), whose sum is σ = 592224000. Its totient is φ = 56947968.

The previous prime is 199954607. The next prime is 199954631. The reversal of 199954608 is 806459991.

199954608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (199954607) 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 15 ways as a sum of consecutive naturals, for example, 132643 + ... + 134141.

It is an arithmetic number, because the mean of its divisors is an integer number (7402800).

Almost surely, 2^199954608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199954608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296112000).

199954608 is an abundant number, since it is smaller than the sum of its proper divisors (392269392).

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

199954608 is a wasteful number, since it uses less digits than its factorization.

199954608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 51.

The square root of 199954608 is about 14140.5306831109. The cubic root of 199954608 is about 584.7593019573.

The spelling of 199954608 in words is "one hundred ninety-nine million, nine hundred fifty-four thousand, six hundred eight".