217696968 has 96 divisors (see below), whose sum is σ = 645910200. Its totient is φ = 65931264.

The previous prime is 217696967. The next prime is 217696981. The reversal of 217696968 is 869696712.

It can be written as a sum of positive squares in 4 ways, for example, as 216619524 + 1077444 = 14718^2 + 1038^2 .

It is not an unprimeable number, because it can be changed into a prime (217696967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32430 + ... + 38562.

Almost surely, 2^217696968 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 217696968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322955100).

217696968 is an abundant number, since it is smaller than the sum of its proper divisors (428213232).

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

217696968 is a wasteful number, since it uses less digits than its factorization.

217696968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6191 (or 6184 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 217696968 is about 14754.5575331828. The cubic root of 217696968 is about 601.5671697345.

The spelling of 217696968 in words is "two hundred seventeen million, six hundred ninety-six thousand, nine hundred sixty-eight".