4086640 has 40 divisors (see below), whose sum is σ = 9919008. Its totient is φ = 1562880.

The previous prime is 4086631. The next prime is 4086673. The reversal of 4086640 is 466804.

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

It is a junction number, because it is equal to n+sod(n) for n = 4086599 and 4086608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 730 + ... + 2950.

Almost surely, 2^4086640 is an apocalyptic number.

4086640 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 4086640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4959504).

4086640 is an abundant number, since it is smaller than the sum of its proper divisors (5832368).

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

4086640 is a wasteful number, since it uses less digits than its factorization.

4086640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2257 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 4086640 is about 2021.5439643995. The cubic root of 4086640 is about 159.8780320475.

The spelling of 4086640 in words is "four million, eighty-six thousand, six hundred forty".