5782560 has 96 divisors (see below), whose sum is σ = 20829312. Its totient is φ = 1320960.

The previous prime is 5782547. The next prime is 5782561. The reversal of 5782560 is 652875.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (5782561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2500 + ... + 4220.

It is an arithmetic number, because the mean of its divisors is an integer number (216972).

Almost surely, 2^5782560 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 5782560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10414656).

5782560 is an abundant number, since it is smaller than the sum of its proper divisors (15046752).

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

5782560 is a wasteful number, since it uses less digits than its factorization.

5782560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 5782560 is about 2404.6954069071. The cubic root of 5782560 is about 179.4899139022.

The spelling of 5782560 in words is "five million, seven hundred eighty-two thousand, five hundred sixty".