5757360 has 160 divisors (see below), whose sum is σ = 21427200. Its totient is φ = 1250304.

The previous prime is 5757331. The next prime is 5757379. The reversal of 5757360 is 637575.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38566 + ... + 38714.

It is an arithmetic number, because the mean of its divisors is an integer number (133920).

Almost surely, 2^5757360 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 5757360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10713600).

5757360 is an abundant number, since it is smaller than the sum of its proper divisors (15669840).

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

5757360 is a wasteful number, since it uses less digits than its factorization.

5757360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 33.

The square root of 5757360 is about 2399.4499369647. The cubic root of 5757360 is about 179.2287993149.

The spelling of 5757360 in words is "five million, seven hundred fifty-seven thousand, three hundred sixty".