5824640 has 64 divisors (see below), whose sum is σ = 14688000. Its totient is φ = 2202624.

The previous prime is 5824639. The next prime is 5824649. The reversal of 5824640 is 464285.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×5824640² = 67852862259200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5824649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11921 + ... + 12399.

It is an arithmetic number, because the mean of its divisors is an integer number (229500).

Almost surely, 2^5824640 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 5824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7344000).

5824640 is an abundant number, since it is smaller than the sum of its proper divisors (8863360).

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

5824640 is a wasteful number, since it uses less digits than its factorization.

5824640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 5824640 is about 2413.4290957059. The cubic root of 5824640 is about 179.9242479600.

The spelling of 5824640 in words is "five million, eight hundred twenty-four thousand, six hundred forty".