215068320 has 144 divisors (see below), whose sum is σ = 738220392. Its totient is φ = 57016320.

The previous prime is 215068319. The next prime is 215068369. The reversal of 215068320 is 23860512.

It can be written as a sum of positive squares in 4 ways, for example, as 184199184 + 30869136 = 13572^2 + 5556^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335200 + ... + 335840.

Almost surely, 2^215068320 is an apocalyptic number.

215068320 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 215068320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369110196).

215068320 is an abundant number, since it is smaller than the sum of its proper divisors (523152072).

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

215068320 is a wasteful number, since it uses less digits than its factorization.

215068320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 884 counting only the distinct ones).

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

The square root of 215068320 is about 14665.2078062331. The cubic root of 215068320 is about 599.1360900296.

The spelling of 215068320 in words is "two hundred fifteen million, sixty-eight thousand, three hundred twenty".