4115320 has 64 divisors (see below), whose sum is σ = 10368000. Its totient is φ = 1457280.

The previous prime is 4115317. The next prime is 4115333. The reversal of 4115320 is 235114.

It is a junction number, because it is equal to n+sod(n) for n = 4115294 and 4115303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20581 + ... + 20779.

It is an arithmetic number, because the mean of its divisors is an integer number (162000).

Almost surely, 2^4115320 is an apocalyptic number.

4115320 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 4115320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184000).

4115320 is an abundant number, since it is smaller than the sum of its proper divisors (6252680).

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

4115320 is a wasteful number, since it uses less digits than its factorization.

4115320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 4115320 is about 2028.6251501941. The cubic root of 4115320 is about 160.2511680101.

It can be divided in two parts, 4 and 115320, that multiplied together give a triangular number (461280 = T₉₆₀).

The spelling of 4115320 in words is "four million, one hundred fifteen thousand, three hundred twenty".