4085632 has 32 divisors (see below), whose sum is σ = 8292600. Its totient is φ = 2004480.

The previous prime is 4085629. The next prime is 4085633. The reversal of 4085632 is 2365804.

4085632 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 (32).

It is a self number, because there is not a number n which added to its sum of digits gives 4085632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4085633) 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 3 ways as a sum of consecutive naturals, for example, 7282 + ... + 7822.

Almost surely, 2^4085632 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 4085632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4146300).

4085632 is an abundant number, since it is smaller than the sum of its proper divisors (4206968).

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

4085632 is an equidigital number, since it uses as much as digits as its factorization.

4085632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 4085632 is about 2021.2946346340. The cubic root of 4085632 is about 159.8648859333.

The spelling of 4085632 in words is "four million, eighty-five thousand, six hundred thirty-two".