216712320 has 256 divisors, whose sum is σ = 780226560. Its totient is φ = 50688000.

The previous prime is 216712313. The next prime is 216712333. The reversal of 216712320 is 23217612.

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

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 31 ways as a sum of consecutive naturals, for example, 654555 + ... + 654885.

It is an arithmetic number, because the mean of its divisors is an integer number (3047760).

Almost surely, 2^216712320 is an apocalyptic number.

216712320 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 216712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390113280).

216712320 is an abundant number, since it is smaller than the sum of its proper divisors (563514240).

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

216712320 is a wasteful number, since it uses less digits than its factorization.

216712320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 216712320 is about 14721.1521288247. The cubic root of 216712320 is about 600.6588318584.

Adding to 216712320 its reverse (23217612), we get a palindrome (239929932).

The spelling of 216712320 in words is "two hundred sixteen million, seven hundred twelve thousand, three hundred twenty".