217328160 has 192 divisors, whose sum is σ = 794271744. Its totient is φ = 48921600.

The previous prime is 217328159. The next prime is 217328171. The reversal of 217328160 is 61823712.

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

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 31 ways as a sum of consecutive naturals, for example, 238105 + ... + 239015.

It is an arithmetic number, because the mean of its divisors is an integer number (4136832).

Almost surely, 2^217328160 is an apocalyptic number.

217328160 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 217328160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397135872).

217328160 is an abundant number, since it is smaller than the sum of its proper divisors (576943584).

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

217328160 is a wasteful number, since it uses less digits than its factorization.

217328160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 999 counting only the distinct ones).

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

The square root of 217328160 is about 14742.0541309547. The cubic root of 217328160 is about 601.2272657641.

It can be divided in two parts, 21732 and 8160, that added together give a palindrome (29892).

The spelling of 217328160 in words is "two hundred seventeen million, three hundred twenty-eight thousand, one hundred sixty".