217383768 has 192 divisors, whose sum is σ = 707616000. Its totient is φ = 58980096.

The previous prime is 217383737. The next prime is 217383773. The reversal of 217383768 is 867383712.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (338688) is a multiple of the sum of its prime factors (294).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1563843 + ... + 1563981.

It is an arithmetic number, because the mean of its divisors is an integer number (3685500).

Almost surely, 2^217383768 is an apocalyptic number.

217383768 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 217383768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353808000).

217383768 is an abundant number, since it is smaller than the sum of its proper divisors (490232232).

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

217383768 is a wasteful number, since it uses less digits than its factorization.

217383768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 287 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 217383768 is about 14743.9400432856. The cubic root of 217383768 is about 601.2785402894.

The spelling of 217383768 in words is "two hundred seventeen million, three hundred eighty-three thousand, seven hundred sixty-eight".