864614144 has 36 divisors (see below), whose sum is σ = 1750195440. Its totient is φ = 426209280.

The previous prime is 864614141. The next prime is 864614159. The reversal of 864614144 is 441416468.

It is a junction number, because it is equal to n+sod(n) for n = 864614098 and 864614107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864614141) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 5609 + ... + 41960.

It is an arithmetic number, because the mean of its divisors is an integer number (48616540).

Almost surely, 2^864614144 is an apocalyptic number.

It is an amenable number.

864614144 is an abundant number, since it is smaller than the sum of its proper divisors (885581296).

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

864614144 is an equidigital number, since it uses as much as digits as its factorization.

864614144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47656 (or 47642 counting only the distinct ones).

The product of its digits is 73728, while the sum is 38.

The square root of 864614144 is about 29404.3218592097. The cubic root of 864614144 is about 952.6662473692. Note that the first 3 decimals are identical.

The spelling of 864614144 in words is "eight hundred sixty-four million, six hundred fourteen thousand, one hundred forty-four".