216256320 has 336 divisors, whose sum is σ = 901525248. Its totient is φ = 46448640.

The previous prime is 216256319. The next prime is 216256321. The reversal of 216256320 is 23652612.

216256320 is a `hidden beast` number, since 2 + 1 + 6 + 25 + 632 + 0 = 666.

216256320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (216256319) and next prime (216256321).

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216256321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342405 + ... + 343035.

Almost surely, 2^216256320 is an apocalyptic number.

216256320 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 216256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450762624).

216256320 is an abundant number, since it is smaller than the sum of its proper divisors (685268928).

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

216256320 is a wasteful number, since it uses less digits than its factorization.

216256320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 216256320 is about 14705.6560547294. The cubic root of 216256320 is about 600.2372395167.

The spelling of 216256320 in words is "two hundred sixteen million, two hundred fifty-six thousand, three hundred twenty".