199666624 has 56 divisors (see below), whose sum is σ = 412851600. Its totient is φ = 95692800.

The previous prime is 199666619. The next prime is 199666627. The reversal of 199666624 is 426666991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199666627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 331924 + ... + 332524.

It is an arithmetic number, because the mean of its divisors is an integer number (7372350).

Almost surely, 2^199666624 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 199666624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206425800).

199666624 is an abundant number, since it is smaller than the sum of its proper divisors (213184976).

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

199666624 is a wasteful number, since it uses less digits than its factorization.

199666624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 811 counting only the distinct ones).

The product of its digits is 839808, while the sum is 49.

The square root of 199666624 is about 14130.3440863979. The cubic root of 199666624 is about 584.4784344882.

The spelling of 199666624 in words is "one hundred ninety-nine million, six hundred sixty-six thousand, six hundred twenty-four".