864271296 has 336 divisors, whose sum is σ = 3115397376. Its totient is φ = 231911424.

The previous prime is 864271283. The next prime is 864271307. The reversal of 864271296 is 692172468.

It is a happy number.

864271296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

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, 1850455 + ... + 1850921.

It is an arithmetic number, because the mean of its divisors is an integer number (9272016).

Almost surely, 2^864271296 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 864271296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557698688).

864271296 is an abundant number, since it is smaller than the sum of its proper divisors (2251126080).

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

864271296 is a wasteful number, since it uses less digits than its factorization.

864271296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 496 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 864271296 is about 29398.4913898656. The cubic root of 864271296 is about 952.5403095347.

The spelling of 864271296 in words is "eight hundred sixty-four million, two hundred seventy-one thousand, two hundred ninety-six".