4013632 has 84 divisors (see below), whose sum is σ = 9981184. Its totient is φ = 1566720.

The previous prime is 4013623. The next prime is 4013641. The reversal of 4013632 is 2363104.

4013632 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 (4013623) and next prime (4013641).

It is a super-2 number, since 2×4013632² = 32218483662848, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 129457 + ... + 129487.

Almost surely, 2^4013632 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 4013632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4990592).

4013632 is an abundant number, since it is smaller than the sum of its proper divisors (5967552).

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

4013632 is a wasteful number, since it uses less digits than its factorization.

4013632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 4013632 is about 2003.4051013212. The cubic root of 4013632 is about 158.9202294898.

Adding to 4013632 its reverse (2363104), we get a palindrome (6376736).

The spelling of 4013632 in words is "four million, thirteen thousand, six hundred thirty-two".