264585216 has 120 divisors (see below), whose sum is σ = 807378880. Its totient is φ = 75497472.

The previous prime is 264585199. The next prime is 264585221. The reversal of 264585216 is 612585462.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 343680 + ... + 344448.

Almost surely, 2^264585216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264585216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403689440).

264585216 is an abundant number, since it is smaller than the sum of its proper divisors (542793664).

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

264585216 is an frugal number, since it uses more digits than its factorization.

264585216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 781 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 264585216 is about 16266.0756176774. The cubic root of 264585216 is about 641.9805314309.

The spelling of 264585216 in words is "two hundred sixty-four million, five hundred eighty-five thousand, two hundred sixteen".