557120 has 28 divisors (see below), whose sum is σ = 1327404. Its totient is φ = 222720.

The previous prime is 557093. The next prime is 557153. The reversal of 557120 is 21755.

557120 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 2 ways, for example, as 61504 + 495616 = 248^2 + 704^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 557092 and 557101.

It is a congruent number.

It is an unprimeable number.

557120 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 (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 551 + ... + 1190.

2⁵⁵⁷¹²⁰ is an apocalyptic number.

It is an amenable number.

557120 is an abundant number, since it is smaller than the sum of its proper divisors (770284).

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

557120 is a wasteful number, since it uses less digits than its factorization.

557120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 20.

The square root of 557120 is about 746.4047159551. The cubic root of 557120 is about 82.2841618608.

Adding to 557120 its reverse (21755), we get a palindrome (578875).

The spelling of 557120 in words is "five hundred fifty-seven thousand, one hundred twenty".