475668 has 36 divisors (see below), whose sum is σ = 1225588. Its totient is φ = 155520.

The previous prime is 475649. The next prime is 475669. The reversal of 475668 is 866574.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 101124 + 374544 = 318^2 + 612^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475669) by changing a digit.

475668 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2538 + ... + 2718.

2⁴⁷⁵⁶⁶⁸ 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 475668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612794).

475668 is an abundant number, since it is smaller than the sum of its proper divisors (749920).

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

475668 is a wasteful number, since it uses less digits than its factorization.

475668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 259 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 475668 is about 689.6868854778. The cubic root of 475668 is about 78.0610961161.

It can be divided in two parts, 47566 and 8, that added together give a palindrome (47574).

The spelling of 475668 in words is "four hundred seventy-five thousand, six hundred sixty-eight".