864989468 has 48 divisors (see below), whose sum is σ = 1780047360. Its totient is φ = 360120384.

The previous prime is 864989443. The next prime is 864989473.

864989468 is nontrivially palindromic in base 10.

864989468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 864989468.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150023 + ... + 155681.

It is an arithmetic number, because the mean of its divisors is an integer number (37084320).

Almost surely, 2^864989468 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 864989468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890023680).

864989468 is an abundant number, since it is smaller than the sum of its proper divisors (915057892).

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

864989468 is a wasteful number, since it uses less digits than its factorization.

864989468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5826 (or 5824 counting only the distinct ones).

The product of its digits is 23887872, while the sum is 62.

The square root of 864989468 is about 29410.7032897889. The cubic root of 864989468 is about 952.8040763972.

The spelling of 864989468 in words is "eight hundred sixty-four million, nine hundred eighty-nine thousand, four hundred sixty-eight".