666414 has 64 divisors (see below), whose sum is σ = 1774080. Its totient is φ = 181440.

The previous prime is 666403. The next prime is 666427. The reversal of 666414 is 414666.

666414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (3456) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is an unprimeable number.

666414 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15477 + ... + 15519.

It is an arithmetic number, because the mean of its divisors is an integer number (27720).

2⁶⁶⁶⁴¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 666414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887040).

666414 is an abundant number, since it is smaller than the sum of its proper divisors (1107666).

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

666414 is a wasteful number, since it uses less digits than its factorization.

666414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 96 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 666414 is about 816.3418401626. The cubic root of 666414 is about 87.3470088459.

It can be divided in two parts, 66 and 6414, that multiplied together give a palindrome (423324).

The spelling of 666414 in words is "six hundred sixty-six thousand, four hundred fourteen".