557664 has 48 divisors (see below), whose sum is σ = 1513008. Its totient is φ = 179712.

The previous prime is 557663. The next prime is 557671. The reversal of 557664 is 466755.

557664 = 60² + 61² + ... + 123².

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 557664.

It is not an unprimeable number, because it can be changed into a prime (557663) 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 7 ways as a sum of consecutive naturals, for example, 3474 + ... + 3630.

It is an arithmetic number, because the mean of its divisors is an integer number (31521).

2⁵⁵⁷⁶⁶⁴ 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 557664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756504).

557664 is an abundant number, since it is smaller than the sum of its proper divisors (955344).

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

557664 is a wasteful number, since it uses less digits than its factorization.

557664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 199 counting only the distinct ones).

The product of its digits is 25200, while the sum is 33.

The square root of 557664 is about 746.7690406009. The cubic root of 557664 is about 82.3109352803.

Subtracting from 557664 its reverse (466755), we obtain a palindrome (90909).

It can be divided in two parts, 557 and 664, that added together give a palindrome (1221).

The spelling of 557664 in words is "five hundred fifty-seven thousand, six hundred sixty-four".