864538272 has 120 divisors (see below), whose sum is σ = 2738273076. Its totient is φ = 266001408.

The previous prime is 864538231. The next prime is 864538273. The reversal of 864538272 is 272835468.

864538272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 790509456 + 74028816 = 28116^2 + 8604^2 .

It is not an unprimeable number, because it can be changed into a prime (864538273) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20868 + ... + 46524.

Almost surely, 2^864538272 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 864538272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369136538).

864538272 is an abundant number, since it is smaller than the sum of its proper divisors (1873734804).

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

864538272 is a wasteful number, since it uses less digits than its factorization.

864538272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25692 (or 25675 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 864538272 is about 29403.0316804237. The cubic root of 864538272 is about 952.6383802918.

The spelling of 864538272 in words is "eight hundred sixty-four million, five hundred thirty-eight thousand, two hundred seventy-two".