864408672 has 60 divisors (see below), whose sum is σ = 2542209516. Its totient is φ = 288135360.

The previous prime is 864408637. The next prime is 864408697. The reversal of 864408672 is 276804468.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 164154 + ... + 169337.

Almost surely, 2^864408672 is an apocalyptic number.

It is an amenable number.

864408672 is an abundant number, since it is smaller than the sum of its proper divisors (1677800844).

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

864408672 is a wasteful number, since it uses less digits than its factorization.

864408672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333513 (or 333496 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 864408672 is about 29400.8277434497. The cubic root of 864408672 is about 952.5907756501.

The spelling of 864408672 in words is "eight hundred sixty-four million, four hundred eight thousand, six hundred seventy-two".