4166680 has 64 divisors (see below), whose sum is σ = 11197440. Its totient is φ = 1364352.

The previous prime is 4166671. The next prime is 4166689. The reversal of 4166680 is 866614.

4166680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4166671) and next prime (4166689).

It is a super-2 number, since 2×4166680² = 34722444444800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4166689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6117 + ... + 6763.

It is an arithmetic number, because the mean of its divisors is an integer number (174960).

Almost surely, 2^4166680 is an apocalyptic number.

4166680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4166680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5598720).

4166680 is an abundant number, since it is smaller than the sum of its proper divisors (7030760).

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

4166680 is a wasteful number, since it uses less digits than its factorization.

4166680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 4166680 is about 2041.2447183030. The cubic root of 4166680 is about 160.9150690766.

The spelling of 4166680 in words is "four million, one hundred sixty-six thousand, six hundred eighty".