257120 has 24 divisors (see below), whose sum is σ = 607824. Its totient is φ = 102784.

The previous prime is 257107. The next prime is 257123. The reversal of 257120 is 21752.

257120 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×257120² = 132221388800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257123) by changing a digit.

257120 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 3 ways as a sum of consecutive naturals, for example, 644 + ... + 963.

It is an arithmetic number, because the mean of its divisors is an integer number (25326).

2²⁵⁷¹²⁰ is an apocalyptic number.

257120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257120 is an abundant number, since it is smaller than the sum of its proper divisors (350704).

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

257120 is a wasteful number, since it uses less digits than its factorization.

257120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 257120 is about 507.0700148895. The cubic root of 257120 is about 63.5885057614.

Adding to 257120 its reverse (21752), we get a palindrome (278872).

The spelling of 257120 in words is "two hundred fifty-seven thousand, one hundred twenty".