209968192 has 112 divisors (see below), whose sum is σ = 500359680. Its totient is φ = 85542912.

The previous prime is 209968169. The next prime is 209968201. The reversal of 209968192 is 291869902.

It is a tau number, because it is divible by the number of its divisors (112).

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 15 ways as a sum of consecutive naturals, for example, 878409 + ... + 878647.

Almost surely, 2^209968192 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 209968192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250179840).

209968192 is an abundant number, since it is smaller than the sum of its proper divisors (290391488).

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

209968192 is a wasteful number, since it uses less digits than its factorization.

209968192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 46.

The square root of 209968192 is about 14490.2792243628. The cubic root of 209968192 is about 594.3621835595.

The spelling of 209968192 in words is "two hundred nine million, nine hundred sixty-eight thousand, one hundred ninety-two".