4013520 has 80 divisors (see below), whose sum is σ = 14225280. Its totient is φ = 916992.

The previous prime is 4013519. The next prime is 4013521. The reversal of 4013520 is 253104.

It is an interprime number because it is at equal distance from previous prime (4013519) and next prime (4013521).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4013520² = 32216685580800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4013520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486 + ... + 2874.

It is an arithmetic number, because the mean of its divisors is an integer number (177816).

Almost surely, 2^4013520 is an apocalyptic number.

4013520 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 4013520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7112640).

4013520 is an abundant number, since it is smaller than the sum of its proper divisors (10211760).

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

4013520 is a wasteful number, since it uses less digits than its factorization.

4013520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 2406 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 4013520 is about 2003.3771487166. The cubic root of 4013520 is about 158.9187512584.

Adding to 4013520 its reverse (253104), we get a palindrome (4266624).

The spelling of 4013520 in words is "four million, thirteen thousand, five hundred twenty".