4033640 has 32 divisors (see below), whose sum is σ = 9775080. Its totient is φ = 1489152.

The previous prime is 4033633. The next prime is 4033649. The reversal of 4033640 is 463304.

It is a happy number.

4033640 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 4 ways, for example, as 3161284 + 872356 = 1778^2 + 934^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4033649) 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 7 ways as a sum of consecutive naturals, for example, 3359 + ... + 4398.

Almost surely, 2^4033640 is an apocalyptic number.

4033640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4033640 is an abundant number, since it is smaller than the sum of its proper divisors (5741440).

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

4033640 is a wasteful number, since it uses less digits than its factorization.

4033640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7781 (or 7777 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 4033640 is about 2008.3923919394. The cubic root of 4033640 is about 159.1838649338.

Adding to 4033640 its reverse (463304), we get a palindrome (4496944).

It can be divided in two parts, 40 and 33640, that multiplied together give a square (1345600 = 1160²).

The spelling of 4033640 in words is "four million, thirty-three thousand, six hundred forty".