216508320 has 288 divisors, whose sum is σ = 864235008. Its totient is φ = 48328704.

The previous prime is 216508307. The next prime is 216508381. The reversal of 216508320 is 23805612.

216508320 is a `hidden beast` number, since 2 + 1 + 650 + 8 + 3 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 473532 + ... + 473988.

It is an arithmetic number, because the mean of its divisors is an integer number (3000816).

Almost surely, 2^216508320 is an apocalyptic number.

216508320 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 216508320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432117504).

216508320 is an abundant number, since it is smaller than the sum of its proper divisors (647726688).

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

216508320 is a wasteful number, since it uses less digits than its factorization.

216508320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 521 counting only the distinct ones).

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

The square root of 216508320 is about 14714.2216919550. The cubic root of 216508320 is about 600.4702979368.

It can be divided in two parts, 216 and 508320, that added together give a triangular number (508536 = T₁₀₀₈).

The spelling of 216508320 in words is "two hundred sixteen million, five hundred eight thousand, three hundred twenty".