217680716 has 48 divisors (see below), whose sum is σ = 442260000. Its totient is φ = 92651520.

The previous prime is 217680713. The next prime is 217680779. The reversal of 217680716 is 617086712.

It is a super-3 number, since 3×217680716³ (a number of 26 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 217680716.

It is not an unprimeable number, because it can be changed into a prime (217680713) 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, 173660 + ... + 174908.

It is an arithmetic number, because the mean of its divisors is an integer number (9213750).

Almost surely, 2^217680716 is an apocalyptic number.

It is an amenable number.

217680716 is an abundant number, since it is smaller than the sum of its proper divisors (224579284).

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

217680716 is a wasteful number, since it uses less digits than its factorization.

217680716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 217680716 is about 14754.0067778214. The cubic root of 217680716 is about 601.5521995169.

The spelling of 217680716 in words is "two hundred seventeen million, six hundred eighty thousand, seven hundred sixteen".