4182656 has 32 divisors (see below), whose sum is σ = 8546580. Its totient is φ = 2037760.

The previous prime is 4182631. The next prime is 4182667. The reversal of 4182656 is 6562814.

4182656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3841600 + 341056 = 1960^2 + 584^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×4182656² = 34989222428672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 4 + 1 + 8⁷ + 2¹⁷ + 6 + 5⁹ + 6⁴ .

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 3 ways as a sum of consecutive naturals, for example, 4850 + ... + 5646.

Almost surely, 2^4182656 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 4182656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4273290).

4182656 is an abundant number, since it is smaller than the sum of its proper divisors (4363924).

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

4182656 is an equidigital number, since it uses as much as digits as its factorization.

4182656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 840 counting only the distinct ones).

The product of its digits is 11520, while the sum is 32.

The square root of 4182656 is about 2045.1542729095. The cubic root of 4182656 is about 161.1204684573.

The spelling of 4182656 in words is "four million, one hundred eighty-two thousand, six hundred fifty-six".