5760640 has 32 divisors (see below), whose sum is σ = 13773060. Its totient is φ = 2304000.

The previous prime is 5760631. The next prime is 5760659. The reversal of 5760640 is 460675.

It can be written as a sum of positive squares in 2 ways, for example, as 5419584 + 341056 = 2328^2 + 584^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5760599 and 5760608.

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 3 ways as a sum of consecutive naturals, for example, 3861 + ... + 5140.

Almost surely, 2^5760640 is an apocalyptic number.

It is an amenable number.

5760640 is an abundant number, since it is smaller than the sum of its proper divisors (8012420).

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

5760640 is an equidigital number, since it uses as much as digits as its factorization.

5760640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9020 (or 9008 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 5760640 is about 2400.1333296298. The cubic root of 5760640 is about 179.2628287346.

It can be divided in two parts, 5760 and 640, that multiplied together give a square (3686400 = 1920²).

The spelling of 5760640 in words is "five million, seven hundred sixty thousand, six hundred forty".