4105656 has 48 divisors (see below), whose sum is σ = 11232000. Its totient is φ = 1354752.

The previous prime is 4105639. The next prime is 4105657. The reversal of 4105656 is 6565014.

It is a happy number.

4105656 is a `hidden beast` number, since 4 + 1 + 0 + 5 + 656 = 666.

It is a super-2 number, since 2×4105656² = 33712822380672, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4105657) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 8920 + ... + 9368.

It is an arithmetic number, because the mean of its divisors is an integer number (234000).

Almost surely, 2^4105656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4105656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5616000).

4105656 is an abundant number, since it is smaller than the sum of its proper divisors (7126344).

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

4105656 is a wasteful number, since it uses less digits than its factorization.

4105656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 4105656 is about 2026.2418414395. The cubic root of 4105656 is about 160.1256304970.

It can be divided in two parts, 4105 and 656, that added together give a square (4761 = 69²).

The spelling of 4105656 in words is "four million, one hundred five thousand, six hundred fifty-six".