864824832 has 120 divisors (see below), whose sum is σ = 2539045080. Its totient is φ = 283299840.

The previous prime is 864824813. The next prime is 864824861. The reversal of 864824832 is 238428468.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270282 + ... + 273462.

It is an arithmetic number, because the mean of its divisors is an integer number (21158709).

Almost surely, 2^864824832 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 864824832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269522540).

864824832 is an abundant number, since it is smaller than the sum of its proper divisors (1674220248).

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

864824832 is a wasteful number, since it uses less digits than its factorization.

864824832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3264 (or 3245 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 864824832 is about 29407.9042435873. The cubic root of 864824832 is about 952.7436225570.

The spelling of 864824832 in words is "eight hundred sixty-four million, eight hundred twenty-four thousand, eight hundred thirty-two".