4035640 has 96 divisors (see below), whose sum is σ = 11080800. Its totient is φ = 1317120.

The previous prime is 4035637. The next prime is 4035641. The reversal of 4035640 is 465304.

4035640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4035641) 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 23 ways as a sum of consecutive naturals, for example, 56805 + ... + 56875.

It is an arithmetic number, because the mean of its divisors is an integer number (115425).

Almost surely, 2^4035640 is an apocalyptic number.

4035640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4035640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5540400).

4035640 is an abundant number, since it is smaller than the sum of its proper divisors (7045160).

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

4035640 is a wasteful number, since it uses less digits than its factorization.

4035640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 4035640 is about 2008.8902409042. The cubic root of 4035640 is about 159.2101699689.

The spelling of 4035640 in words is "four million, thirty-five thousand, six hundred forty".