217600768 has 216 divisors, whose sum is σ = 587200320. Its totient is φ = 79349760.

The previous prime is 217600753. The next prime is 217600771. The reversal of 217600768 is 867006712.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2621655 + ... + 2621737.

It is an arithmetic number, because the mean of its divisors is an integer number (2718520).

Almost surely, 2^217600768 is an apocalyptic number.

217600768 is a gapful number since it is divisible by the number (28) 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 217600768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293600160).

217600768 is an abundant number, since it is smaller than the sum of its proper divisors (369599552).

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

217600768 is a wasteful number, since it uses less digits than its factorization.

217600768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 217600768 is about 14751.2971633006. The cubic root of 217600768 is about 601.4785461021.

The spelling of 217600768 in words is "two hundred seventeen million, six hundred thousand, seven hundred sixty-eight".