5784960 has 128 divisors (see below), whose sum is σ = 19388160. Its totient is φ = 1464320.

The previous prime is 5784959. The next prime is 5784967. The reversal of 5784960 is 694875.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5784967) 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 15 ways as a sum of consecutive naturals, for example, 44095 + ... + 44225.

It is an arithmetic number, because the mean of its divisors is an integer number (151470).

Almost surely, 2^5784960 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 5784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9694080).

5784960 is an abundant number, since it is smaller than the sum of its proper divisors (13603200).

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

5784960 is a wasteful number, since it uses less digits than its factorization.

5784960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 5784960 is about 2405.1943788393. The cubic root of 5784960 is about 179.5147423640.

The spelling of 5784960 in words is "five million, seven hundred eighty-four thousand, nine hundred sixty".