209034656 has 48 divisors (see below), whose sum is σ = 438177600. Its totient is φ = 97878528.

The previous prime is 209034619. The next prime is 209034659. The reversal of 209034656 is 656430902.

209034656 is digitally balanced in base 2 and base 3, because in such bases 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 (209034659) 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, 52181 + ... + 56043.

It is an arithmetic number, because the mean of its divisors is an integer number (9128700).

Almost surely, 2^209034656 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 209034656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219088800).

209034656 is an abundant number, since it is smaller than the sum of its proper divisors (229142944).

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

209034656 is a wasteful number, since it uses less digits than its factorization.

209034656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3981 (or 3973 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 209034656 is about 14458.0308479405. The cubic root of 209034656 is about 593.4800136731.

The spelling of 209034656 in words is "two hundred nine million, thirty-four thousand, six hundred fifty-six".