864565468 has 72 divisors (see below), whose sum is σ = 1701680400. Its totient is φ = 383924736.

The previous prime is 864565463. The next prime is 864565477.

864565468 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864565463) 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, 2113648 + ... + 2114056.

It is an arithmetic number, because the mean of its divisors is an integer number (23634450).

Almost surely, 2^864565468 is an apocalyptic number.

It is an amenable number.

864565468 is a deficient number, since it is larger than the sum of its proper divisors (837114932).

864565468 is a wasteful number, since it uses less digits than its factorization.

864565468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 536 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 52.

The square root of 864565468 is about 29403.4941461045. The cubic root of 864565468 is about 952.6483693162.

The spelling of 864565468 in words is "eight hundred sixty-four million, five hundred sixty-five thousand, four hundred sixty-eight".