4186640 has 40 divisors (see below), whose sum is σ = 9910080. Its totient is φ = 1644416.

The previous prime is 4186639. The next prime is 4186673. The reversal of 4186640 is 466814.

4186640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4277 + ... + 5163.

It is an arithmetic number, because the mean of its divisors is an integer number (247752).

Almost surely, 2^4186640 is an apocalyptic number.

4186640 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 4186640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4955040).

4186640 is an abundant number, since it is smaller than the sum of its proper divisors (5723440).

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

4186640 is a wasteful number, since it uses less digits than its factorization.

4186640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 4186640 is about 2046.1280507339. The cubic root of 4186640 is about 161.1716082313.

The spelling of 4186640 in words is "four million, one hundred eighty-six thousand, six hundred forty".