217006080 has 120 divisors (see below), whose sum is σ = 695184672. Its totient is φ = 57802752.

The previous prime is 217006067. The next prime is 217006091. The reversal of 217006080 is 80600712.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 217006080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245319 + ... + 246201.

Almost surely, 2^217006080 is an apocalyptic number.

217006080 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 217006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347592336).

217006080 is an abundant number, since it is smaller than the sum of its proper divisors (478178592).

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

217006080 is an frugal number, since it uses more digits than its factorization.

217006080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 217006080 is about 14731.1262298576. The cubic root of 217006080 is about 600.9301129603.

Adding to 217006080 its reverse (80600712), we get a palindrome (297606792).

The spelling of 217006080 in words is "two hundred seventeen million, six thousand, eighty".