864288032 has 72 divisors (see below), whose sum is σ = 1774592820. Its totient is φ = 414305280.

The previous prime is 864288031. The next prime is 864288037. The reversal of 864288032 is 230882468.

864288032 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 6 ways, for example, as 613255696 + 251032336 = 24764^2 + 15844^2 .

It is not an unprimeable number, because it can be changed into a prime (864288031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4774982 + ... + 4775162.

Almost surely, 2^864288032 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 864288032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887296410).

864288032 is an abundant number, since it is smaller than the sum of its proper divisors (910304788).

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

864288032 is a wasteful number, since it uses less digits than its factorization.

864288032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The square root of 864288032 is about 29398.7760289438. The cubic root of 864288032 is about 952.5464579173.

The spelling of 864288032 in words is "eight hundred sixty-four million, two hundred eighty-eight thousand, thirty-two".