4013320 has 16 divisors (see below), whose sum is σ = 9030060. Its totient is φ = 1605312.

The previous prime is 4013297. The next prime is 4013323. The reversal of 4013320 is 233104.

4013320 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 2 ways, for example, as 3992004 + 21316 = 1998^2 + 146^2 .

It is a super-2 number, since 2×4013320² = 32213474844800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4013320.

It is not an unprimeable number, because it can be changed into a prime (4013323) 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, 50127 + ... + 50206.

Almost surely, 2^4013320 is an apocalyptic number.

4013320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4013320 is an abundant number, since it is smaller than the sum of its proper divisors (5016740).

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

4013320 is a wasteful number, since it uses less digits than its factorization.

4013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100344 (or 100340 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 4013320 is about 2003.3272323812. The cubic root of 4013320 is about 158.9161114909.

Adding to 4013320 its reverse (233104), we get a palindrome (4246424).

It can be divided in two parts, 401 and 3320, that added together give a square (3721 = 61²).

The spelling of 4013320 in words is "four million, thirteen thousand, three hundred twenty".