217004660 has 48 divisors (see below), whose sum is σ = 493770816. Its totient is φ = 79790592.

The previous prime is 217004647. The next prime is 217004663. The reversal of 217004660 is 66400712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217004663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7199 + ... + 22041.

It is an arithmetic number, because the mean of its divisors is an integer number (10286892).

Almost surely, 2^217004660 is an apocalyptic number.

217004660 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 217004660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246885408).

217004660 is an abundant number, since it is smaller than the sum of its proper divisors (276766156).

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

217004660 is a wasteful number, since it uses less digits than its factorization.

217004660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14912 (or 14910 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 217004660 is about 14731.0780325134. The cubic root of 217004660 is about 600.9288022096.

The spelling of 217004660 in words is "two hundred seventeen million, four thousand, six hundred sixty".