209028960 has 288 divisors, whose sum is σ = 827910720. Its totient is φ = 47038464.

The previous prime is 209028959. The next prime is 209028997. The reversal of 209028960 is 69820902.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×209028960² = 87386212237363200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 897004 + ... + 897236.

It is an arithmetic number, because the mean of its divisors is an integer number (2874690).

Almost surely, 2^209028960 is an apocalyptic number.

209028960 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 209028960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413955360).

209028960 is an abundant number, since it is smaller than the sum of its proper divisors (618881760).

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

209028960 is a wasteful number, since it uses less digits than its factorization.

209028960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 209028960 is about 14457.8338626504. The cubic root of 209028960 is about 593.4746230313.

The spelling of 209028960 in words is "two hundred nine million, twenty-eight thousand, nine hundred sixty".