57380 has 24 divisors (see below), whose sum is σ = 127680. Its totient is φ = 21600.

The previous prime is 57373. The next prime is 57383. The reversal of 57380 is 8375.

It is not an unprimeable number, because it can be changed into a prime (57383) by changing a digit.

57380 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 305 + ... + 455.

It is an arithmetic number, because the mean of its divisors is an integer number (5320).

2⁵⁷³⁸⁰ 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 57380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63840).

57380 is an abundant number, since it is smaller than the sum of its proper divisors (70300).

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

57380 is a wasteful number, since it uses less digits than its factorization.

57380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 57380 is about 239.5412281842. The cubic root of 57380 is about 38.5703442115.

The spelling of 57380 in words is "fifty-seven thousand, three hundred eighty".