66666 has 16 divisors (see below), whose sum is σ = 137088. Its totient is φ = 21600.

The previous prime is 66653. The next prime is 66683.

66666 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

66666 is a modest number, since divided by 666 gives 66 as remainder.

66666 is a nontrivial repdigit in base 10.

It is a plaindrome in base 10.

It is a nialpdrome in base 10.

It is a zygodrome in base 10.

It is an unprimeable number.

66666 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 7 ways as a sum of consecutive naturals, for example, 111 + ... + 381.

It is an arithmetic number, because the mean of its divisors is an integer number (8568).

2^{66666} is an apocalyptic number.

66666 is an abundant number, since it is smaller than the sum of its proper divisors (70422).

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 (68544).

66666 is a wasteful number, since it uses less digits than its factorization.

66666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317.

The product of its digits is 7776, while the sum is 30.

The square root of 66666 is about 258.1975987495. The cubic root of 66666 is about 40.5478781433.

It can be divided in two parts, 666 and 66, that multiplied together give a triangular number (43956 = T_{296}).

The spelling of 66666 in words is "sixty-six thousand, six hundred sixty-six".

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