209608 has 32 divisors (see below), whose sum is σ = 475200. Its totient is φ = 84672.

The previous prime is 209597. The next prime is 209621. The reversal of 209608 is 806902.

209608 = T₅₇ + T₅₈ + ... + T₁₁₂.

It is an unprimeable number.

209608 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 966 + ... + 1162.

It is an arithmetic number, because the mean of its divisors is an integer number (14850).

2²⁰⁹⁶⁰⁸ is an apocalyptic number.

209608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237600).

209608 is an abundant number, since it is smaller than the sum of its proper divisors (265592).

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

209608 is a wasteful number, since it uses less digits than its factorization.

209608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 209608 is about 457.8296626476. The cubic root of 209608 is about 59.4022120880.

The spelling of 209608 in words is "two hundred nine thousand, six hundred eight".