5040864 has 72 divisors (see below), whose sum is σ = 14977872. Its totient is φ = 1605120.

The previous prime is 5040853. The next prime is 5040899. The reversal of 5040864 is 4680405.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6244 + ... + 7004.

It is an arithmetic number, because the mean of its divisors is an integer number (208026).

Almost surely, 2^5040864 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 5040864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7488936).

5040864 is an abundant number, since it is smaller than the sum of its proper divisors (9937008).

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

5040864 is a wasteful number, since it uses less digits than its factorization.

5040864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5040864 is about 2245.1868519123. The cubic root of 5040864 is about 171.4621743652.

The spelling of 5040864 in words is "five million, forty thousand, eight hundred sixty-four".