217104920 has 64 divisors (see below), whose sum is σ = 499500000. Its totient is φ = 84907008.

The previous prime is 217104913. The next prime is 217104947. The reversal of 217104920 is 29401712.

It is a self number, because there is not a number n which added to its sum of digits gives 217104920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 434831 + ... + 435329.

Almost surely, 2^217104920 is an apocalyptic number.

217104920 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 217104920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249750000).

217104920 is an abundant number, since it is smaller than the sum of its proper divisors (282395080).

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

217104920 is a wasteful number, since it uses less digits than its factorization.

217104920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 217104920 is about 14734.4806491440. The cubic root of 217104920 is about 601.0213345472.

The spelling of 217104920 in words is "two hundred seventeen million, one hundred four thousand, nine hundred twenty".