557760 has 112 divisors (see below), whose sum is σ = 2048256. Its totient is φ = 125952.

The previous prime is 557759. The next prime is 557761. The reversal of 557760 is 67755.

It is an interprime number because it is at equal distance from previous prime (557759) and next prime (557761).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×557760² = 622192435200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (557761) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6679 + ... + 6761.

It is an arithmetic number, because the mean of its divisors is an integer number (18288).

2⁵⁵⁷⁷⁶⁰ 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 557760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024128).

557760 is an abundant number, since it is smaller than the sum of its proper divisors (1490496).

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

557760 is a wasteful number, since it uses less digits than its factorization.

557760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 30.

The square root of 557760 is about 746.8333147363. The cubic root of 557760 is about 82.3156581938.

The spelling of 557760 in words is "five hundred fifty-seven thousand, seven hundred sixty".