209604164 has 72 divisors (see below), whose sum is σ = 468840960. Its totient is φ = 81076800.

The previous prime is 209604163. The next prime is 209604179. The reversal of 209604164 is 461406902.

It is a happy number.

209604164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×209604164² = 87867811132277792, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 209604164.

It is not an unprimeable number, because it can be changed into a prime (209604163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411542 + ... + 412050.

It is an arithmetic number, because the mean of its divisors is an integer number (6511680).

Almost surely, 2^209604164 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 209604164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234420480).

209604164 is an abundant number, since it is smaller than the sum of its proper divisors (259236796).

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

209604164 is a wasteful number, since it uses less digits than its factorization.

209604164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 209604164 is about 14477.7126646442. The cubic root of 209604164 is about 594.0184971585.

The spelling of 209604164 in words is "two hundred nine million, six hundred four thousand, one hundred sixty-four".