217066080 has 288 divisors, whose sum is σ = 868734720. Its totient is φ = 45050880.

The previous prime is 217066063. The next prime is 217066097. The reversal of 217066080 is 80660712.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (217066063) and next prime (217066097).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 258301 + ... + 259139.

It is an arithmetic number, because the mean of its divisors is an integer number (3016440).

Almost surely, 2^217066080 is an apocalyptic number.

217066080 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 217066080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434367360).

217066080 is an abundant number, since it is smaller than the sum of its proper divisors (651668640).

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

217066080 is a wasteful number, since it uses less digits than its factorization.

217066080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 217066080 is about 14733.1625932791. The cubic root of 217066080 is about 600.9854915689.

The spelling of 217066080 in words is "two hundred seventeen million, sixty-six thousand, eighty".