66870 has 24 divisors (see below), whose sum is σ = 174096. Its totient is φ = 17808.

The previous prime is 66863. The next prime is 66877. The reversal of 66870 is 7866.

It is an interprime number because it is at equal distance from previous prime (66863) and next prime (66877).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66877) by changing a digit.

66870 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, 282 + ... + 461.

It is an arithmetic number, because the mean of its divisors is an integer number (7254).

2⁶⁶⁸⁷⁰ is an apocalyptic number.

66870 is an abundant number, since it is smaller than the sum of its proper divisors (107226).

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 (87048).

66870 is a wasteful number, since it uses less digits than its factorization.

66870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 66870 is about 258.5923432741. The cubic root of 66870 is about 40.5891952773.

Adding to 66870 its product of nonzero digits (2016), we get a palindrome (68886).

The spelling of 66870 in words is "sixty-six thousand, eight hundred seventy".