209011968 has 144 divisors (see below), whose sum is σ = 674520000. Its totient is φ = 63313920.

The previous prime is 209011897. The next prime is 209011997. The reversal of 209011968 is 869110902.

209011968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74658 + ... + 77406.

Almost surely, 2^209011968 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 209011968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337260000).

209011968 is an abundant number, since it is smaller than the sum of its proper divisors (465508032).

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

209011968 is a wasteful number, since it uses less digits than its factorization.

209011968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 209011968 is about 14457.2462108107. The cubic root of 209011968 is about 593.4585413776.

The spelling of 209011968 in words is "two hundred nine million, eleven thousand, nine hundred sixty-eight".