217988320 has 96 divisors (see below), whose sum is σ = 565439616. Its totient is φ = 78758400.

The previous prime is 217988299. The next prime is 217988321. The reversal of 217988320 is 23889712.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217988321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371067 + ... + 371653.

It is an arithmetic number, because the mean of its divisors is an integer number (5889996).

Almost surely, 2^217988320 is an apocalyptic number.

217988320 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 217988320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282719808).

217988320 is an abundant number, since it is smaller than the sum of its proper divisors (347451296).

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

217988320 is a wasteful number, since it uses less digits than its factorization.

217988320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 217988320 is about 14764.4275202258. The cubic root of 217988320 is about 601.8354167211.

The spelling of 217988320 in words is "two hundred seventeen million, nine hundred eighty-eight thousand, three hundred twenty".