209103920 has 80 divisors (see below), whose sum is σ = 506619360. Its totient is φ = 80166912.

The previous prime is 209103919. The next prime is 209103929. The reversal of 209103920 is 29301902.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 209103920.

It is not an unprimeable number, because it can be changed into a prime (209103929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447527 + ... + 447993.

It is an arithmetic number, because the mean of its divisors is an integer number (6332742).

Almost surely, 2^209103920 is an apocalyptic number.

209103920 is a gapful number since it is divisible by the number (20) 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 209103920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253309680).

209103920 is an abundant number, since it is smaller than the sum of its proper divisors (297515440).

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

209103920 is a wasteful number, since it uses less digits than its factorization.

209103920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 209103920 is about 14460.4259964913. The cubic root of 209103920 is about 593.5455566490.

The spelling of 209103920 in words is "two hundred nine million, one hundred three thousand, nine hundred twenty".