5648040 has 96 divisors (see below), whose sum is σ = 19024200. Its totient is φ = 1451520.

The previous prime is 5648039. The next prime is 5648047. The reversal of 5648040 is 408465.

It can be written as a sum of positive squares in 4 ways, for example, as 4334724 + 1313316 = 2082^2 + 1146^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5647995 and 5648013.

It is not an unprimeable number, because it can be changed into a prime (5648047) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10170 + ... + 10710.

Almost surely, 2^5648040 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 5648040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9512100).

5648040 is an abundant number, since it is smaller than the sum of its proper divisors (13376160).

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

5648040 is a wasteful number, since it uses less digits than its factorization.

5648040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 580 counting only the distinct ones).

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

The square root of 5648040 is about 2376.5605399400. The cubic root of 5648040 is about 178.0871517000.

The spelling of 5648040 in words is "five million, six hundred forty-eight thousand, forty".