864606468 has 72 divisors (see below), whose sum is σ = 2347996896. Its totient is φ = 246583040.

The previous prime is 864606467. The next prime is 864606481.

864606468 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (864606467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7171 + ... + 42197.

It is an arithmetic number, because the mean of its divisors is an integer number (32611068).

Almost surely, 2^864606468 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 864606468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1173998448).

864606468 is an abundant number, since it is smaller than the sum of its proper divisors (1483390428).

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

864606468 is a wasteful number, since it uses less digits than its factorization.

864606468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35073 (or 35060 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The square root of 864606468 is about 29404.1913338898. The cubic root of 864606468 is about 952.6634281202.

The spelling of 864606468 in words is "eight hundred sixty-four million, six hundred six thousand, four hundred sixty-eight".