209888 has 24 divisors (see below), whose sum is σ = 472752. Its totient is φ = 89856.

The previous prime is 209887. The next prime is 209917. The reversal of 209888 is 888902.

209888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 209888.

It is not an unprimeable number, because it can be changed into a prime (209887) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 245 + ... + 692.

It is an arithmetic number, because the mean of its divisors is an integer number (19698).

2²⁰⁹⁸⁸⁸ is an apocalyptic number.

209888 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

209888 is an abundant number, since it is smaller than the sum of its proper divisors (262864).

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

209888 is an equidigital number, since it uses as much as digits as its factorization.

209888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 209888 is about 458.1353511791. The cubic root of 209888 is about 59.4286506761.

The spelling of 209888 in words is "two hundred nine thousand, eight hundred eighty-eight".