209088 has 84 divisors (see below), whose sum is σ = 675640. Its totient is φ = 63360.

The previous prime is 209071. The next prime is 209089. The reversal of 209088 is 880902.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (209089) by changing a digit.

209088 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 11 ways as a sum of consecutive naturals, for example, 19003 + ... + 19013.

2²⁰⁹⁰⁸⁸ 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 209088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337820).

209088 is an abundant number, since it is smaller than the sum of its proper divisors (466552).

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

209088 is a wasteful number, since it uses less digits than its factorization.

209088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 209088 is about 457.2614131982. The cubic root of 209088 is about 59.3530493190.

Multiplying 209088 by its sum of digits (27), we get a square (5645376 = 2376²).

209088 divided by its sum of digits (27) gives a square (7744 = 88²).

Subtracting from 209088 its product of nonzero digits (1152), we obtain a square (207936 = 456²).

The spelling of 209088 in words is "two hundred nine thousand, eighty-eight".