217342008 has 256 divisors, whose sum is σ = 716688000. Its totient is φ = 60383232.

The previous prime is 217342003. The next prime is 217342009. The reversal of 217342008 is 800243712.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217342003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1384266 + ... + 1384422.

Almost surely, 2^217342008 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 217342008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358344000).

217342008 is an abundant number, since it is smaller than the sum of its proper divisors (499345992).

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

217342008 is a wasteful number, since it uses less digits than its factorization.

217342008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 217342008 is about 14742.5238002182. The cubic root of 217342008 is about 601.2400354214.

It can be divided in two parts, 217 and 342008, that added together give a square (342225 = 585²).

The spelling of 217342008 in words is "two hundred seventeen million, three hundred forty-two thousand, eight".