57360 has 40 divisors (see below), whose sum is σ = 178560. Its totient is φ = 15232.

The previous prime is 57349. The next prime is 57367. The reversal of 57360 is 6375.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (57367) by changing a digit.

57360 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121 + ... + 359.

It is an arithmetic number, because the mean of its divisors is an integer number (4464).

2⁵⁷³⁶⁰ is an apocalyptic number.

It is a pronic number, being equal to 239×240.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89280).

57360 is an abundant number, since it is smaller than the sum of its proper divisors (121200).

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

57360 is a wasteful number, since it uses less digits than its factorization.

57360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 57360 is about 239.4994780788. The cubic root of 57360 is about 38.5658624145.

The spelling of 57360 in words is "fifty-seven thousand, three hundred sixty".