209842080 has 288 divisors, whose sum is σ = 801892224. Its totient is φ = 45176832.

The previous prime is 209842063. The next prime is 209842081. The reversal of 209842080 is 80248902.

It is not an unprimeable number, because it can be changed into a prime (209842081) 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 47 ways as a sum of consecutive naturals, for example, 1212874 + ... + 1213046.

It is an arithmetic number, because the mean of its divisors is an integer number (2784348).

Almost surely, 2^209842080 is an apocalyptic number.

209842080 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 209842080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400946112).

209842080 is an abundant number, since it is smaller than the sum of its proper divisors (592050144).

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

209842080 is a wasteful number, since it uses less digits than its factorization.

209842080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 209842080 is about 14485.9269637811. The cubic root of 209842080 is about 594.2431636025.

The spelling of 209842080 in words is "two hundred nine million, eight hundred forty-two thousand, eighty".