209288768 has 56 divisors (see below), whose sum is σ = 473595192. Its totient is φ = 90906624.

The previous prime is 209288767. The next prime is 209288773. The reversal of 209288768 is 867882902.

209288768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 15745024 + 193543744 = 3968^2 + 13912^2 .

It is not an unprimeable number, because it can be changed into a prime (209288767) 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, 6746 + ... + 21542.

It is an arithmetic number, because the mean of its divisors is an integer number (8457057).

Almost surely, 2^209288768 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 209288768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236797596).

209288768 is an abundant number, since it is smaller than the sum of its proper divisors (264306424).

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

209288768 is a wasteful number, since it uses less digits than its factorization.

209288768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14839 (or 14829 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 50.

The square root of 209288768 is about 14466.8160975385. The cubic root of 209288768 is about 593.7204033557.

The spelling of 209288768 in words is "two hundred nine million, two hundred eighty-eight thousand, seven hundred sixty-eight".