217342080 has 192 divisors, whose sum is σ = 760195800. Its totient is φ = 57212928.

The previous prime is 217342063. The next prime is 217342087. The reversal of 217342080 is 80243712.

It can be written as a sum of positive squares in 4 ways, for example, as 142277184 + 75064896 = 11928^2 + 8664^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (217342087) 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, 558526 + ... + 558914.

Almost surely, 2^217342080 is an apocalyptic number.

217342080 is a gapful number since it is divisible by the number (20) 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 217342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380097900).

217342080 is an abundant number, since it is smaller than the sum of its proper divisors (542853720).

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

217342080 is a wasteful number, since it uses less digits than its factorization.

217342080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 496 counting only the distinct ones).

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

The square root of 217342080 is about 14742.5262421337. The cubic root of 217342080 is about 601.2401018133.

Adding to 217342080 its reverse (80243712), we get a palindrome (297585792).

It can be divided in two parts, 2173 and 42080, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 217342080 in words is "two hundred seventeen million, three hundred forty-two thousand, eighty".