5857760 has 48 divisors (see below), whose sum is σ = 14297472. Its totient is φ = 2265600.

The previous prime is 5857759. The next prime is 5857763. The reversal of 5857760 is 677585.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5857763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4370 + ... + 5550.

It is an arithmetic number, because the mean of its divisors is an integer number (297864).

Almost surely, 2^5857760 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 5857760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7148736).

5857760 is an abundant number, since it is smaller than the sum of its proper divisors (8439712).

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

5857760 is a wasteful number, since it uses less digits than its factorization.

5857760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 38.

The square root of 5857760 is about 2420.2809754241. The cubic root of 5857760 is about 180.2646313314.

The spelling of 5857760 in words is "five million, eight hundred fifty-seven thousand, seven hundred sixty".