66414 has 8 divisors (see below), whose sum is σ = 132840. Its totient is φ = 22136.

The previous prime is 66413. The next prime is 66431. The reversal of 66414 is 41466.

Added to its reverse (41466) it gives a triangular number (107880 = T₄₆₄).

It is a sphenic number, since it is the product of 3 distinct primes.

66414 is an admirable number.

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 66414.

It is not an unprimeable number, because it can be changed into a prime (66413) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5529 + ... + 5540.

It is an arithmetic number, because the mean of its divisors is an integer number (16605).

2⁶⁶⁴¹⁴ is an apocalyptic number.

66414 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66420).

66414 is a wasteful number, since it uses less digits than its factorization.

66414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11074.

The product of its digits is 576, while the sum is 21.

The square root of 66414 is about 257.7091383711. The cubic root of 66414 is about 40.4967227953.

Adding to 66414 its reverse (41466), we get a triangular number (107880 = T₄₆₄).

The spelling of 66414 in words is "sixty-six thousand, four hundred fourteen".