5640480 has 72 divisors (see below), whose sum is σ = 19253052. Its totient is φ = 1503744.

The previous prime is 5640463. The next prime is 5640527. The reversal of 5640480 is 840465.

It can be written as a sum of positive squares in 2 ways, for example, as 5588496 + 51984 = 2364^2 + 228^2 .

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 519 + ... + 3398.

Almost surely, 2^5640480 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 5640480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9626526).

5640480 is an abundant number, since it is smaller than the sum of its proper divisors (13612572).

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

5640480 is a wasteful number, since it uses less digits than its factorization.

5640480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3938 (or 3927 counting only the distinct ones).

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

The square root of 5640480 is about 2374.9694734880. The cubic root of 5640480 is about 178.0076586361.

The spelling of 5640480 in words is "five million, six hundred forty thousand, four hundred eighty".