66846 has 16 divisors (see below), whose sum is σ = 144144. Its totient is φ = 20544.

The previous prime is 66841. The next prime is 66851. The reversal of 66846 is 64866.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (66841) and next prime (66851).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66841) by changing a digit.

66846 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 7 ways as a sum of consecutive naturals, for example, 351 + ... + 506.

It is an arithmetic number, because the mean of its divisors is an integer number (9009).

2⁶⁶⁸⁴⁶ is an apocalyptic number.

66846 is an abundant number, since it is smaller than the sum of its proper divisors (77298).

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 (72072).

66846 is a wasteful number, since it uses less digits than its factorization.

66846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875.

The product of its digits is 6912, while the sum is 30.

The square root of 66846 is about 258.5459340233. The cubic root of 66846 is about 40.5843388033.

It can be divided in two parts, 6684 and 6, that multiplied together give a palindrome (40104).

The spelling of 66846 in words is "sixty-six thousand, eight hundred forty-six".