4057632 has 72 divisors (see below), whose sum is σ = 11757564. Its totient is φ = 1327104.

The previous prime is 4057631. The next prime is 4057633. The reversal of 4057632 is 2367504.

It is a happy number.

4057632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4057631) and next prime (4057633).

It can be written as a sum of positive squares in 2 ways, for example, as 4016016 + 41616 = 2004^2 + 204^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 4057596 and 4057605.

It is not an unprimeable number, because it can be changed into a prime (4057631) 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 11 ways as a sum of consecutive naturals, for example, 20928 + ... + 21120.

Almost surely, 2^4057632 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 4057632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5878782).

4057632 is an abundant number, since it is smaller than the sum of its proper divisors (7699932).

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

4057632 is a wasteful number, since it uses less digits than its factorization.

4057632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 4057632 is about 2014.3564729213. The cubic root of 4057632 is about 159.4988486010.

The spelling of 4057632 in words is "four million, fifty-seven thousand, six hundred thirty-two".