216580320 has 288 divisors, whose sum is σ = 820126944. Its totient is φ = 52039680.

The previous prime is 216580319. The next prime is 216580321. The reversal of 216580320 is 23085612.

216580320 is a `hidden beast` number, since 2 + 1 + 658 + 0 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (216580319) and next prime (216580321).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×216580320² = 93814070022604800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216580321) by changing a digit.

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, 1916584 + ... + 1916696.

It is an arithmetic number, because the mean of its divisors is an integer number (2847663).

Almost surely, 2^216580320 is an apocalyptic number.

216580320 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 216580320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410063472).

216580320 is an abundant number, since it is smaller than the sum of its proper divisors (603546624).

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

216580320 is a wasteful number, since it uses less digits than its factorization.

216580320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 216580320 is about 14716.6681011702. The cubic root of 216580320 is about 600.5368528385.

The spelling of 216580320 in words is "two hundred sixteen million, five hundred eighty thousand, three hundred twenty".