217462768 has 30 divisors (see below), whose sum is σ = 435394752. Its totient is φ = 105216480.

The previous prime is 217462711. The next prime is 217462781. The reversal of 217462768 is 867264712.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 8305 + ... + 22447.

Almost surely, 2^217462768 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 217462768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217697376).

217462768 is an abundant number, since it is smaller than the sum of its proper divisors (217931984).

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

217462768 is a wasteful number, since it uses less digits than its factorization.

217462768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14213 (or 14176 counting only the distinct ones).

The product of its digits is 225792, while the sum is 43.

The square root of 217462768 is about 14746.6188667098. The cubic root of 217462768 is about 601.3513688667.

The spelling of 217462768 in words is "two hundred seventeen million, four hundred sixty-two thousand, seven hundred sixty-eight".