57260 has 24 divisors (see below), whose sum is σ = 137760. Its totient is φ = 19584.

The previous prime is 57259. The next prime is 57269. The reversal of 57260 is 6275.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (57269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65 + ... + 344.

It is an arithmetic number, because the mean of its divisors is an integer number (5740).

2⁵⁷²⁶⁰ is an apocalyptic number.

It is an amenable number.

57260 is an abundant number, since it is smaller than the sum of its proper divisors (80500).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68880).

57260 is a wasteful number, since it uses less digits than its factorization.

57260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 57260 is about 239.2906182866. The cubic root of 57260 is about 38.5434377889.

The spelling of 57260 in words is "fifty-seven thousand, two hundred sixty".