209264 has 40 divisors (see below), whose sum is σ = 468720. Its totient is φ = 89600.

The previous prime is 209263. The next prime is 209267. The reversal of 209264 is 462902.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (209263) 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, 5084 + ... + 5124.

It is an arithmetic number, because the mean of its divisors is an integer number (11718).

2²⁰⁹²⁶⁴ 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 209264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234360).

209264 is an abundant number, since it is smaller than the sum of its proper divisors (259456).

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

209264 is a wasteful number, since it uses less digits than its factorization.

209264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 209264 is about 457.4538228062. The cubic root of 209264 is about 59.3696981415.

The spelling of 209264 in words is "two hundred nine thousand, two hundred sixty-four".