217014768 has 80 divisors (see below), whose sum is σ = 639795360. Its totient is φ = 70377984.

The previous prime is 217014739. The next prime is 217014793. The reversal of 217014768 is 867410712.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9196 + ... + 22772.

It is an arithmetic number, because the mean of its divisors is an integer number (7997442).

Almost surely, 2^217014768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217014768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319897680).

217014768 is an abundant number, since it is smaller than the sum of its proper divisors (422780592).

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

217014768 is a wasteful number, since it uses less digits than its factorization.

217014768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13631 (or 13619 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 217014768 is about 14731.4211127101. The cubic root of 217014768 is about 600.9381324148.

The spelling of 217014768 in words is "two hundred seventeen million, fourteen thousand, seven hundred sixty-eight".