415668 has 48 divisors (see below), whose sum is σ = 1096704. Its totient is φ = 121440.

The previous prime is 415661. The next prime is 415669. The reversal of 415668 is 866514.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6171 + ... + 6237.

It is an arithmetic number, because the mean of its divisors is an integer number (22848).

2⁴¹⁵⁶⁶⁸ 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 415668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548352).

415668 is an abundant number, since it is smaller than the sum of its proper divisors (681036).

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

415668 is a wasteful number, since it uses less digits than its factorization.

415668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 130 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 415668 is about 644.7231964184. The cubic root of 415668 is about 74.6303589776.

It can be divided in two parts, 4156 and 68, that added together give a palindrome (4224).

The spelling of 415668 in words is "four hundred fifteen thousand, six hundred sixty-eight".