4115760 has 80 divisors (see below), whose sum is σ = 13927680. Its totient is φ = 997120.

The previous prime is 4115753. The next prime is 4115773. The reversal of 4115760 is 675114.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4115760.

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, 1861 + ... + 3419.

It is an arithmetic number, because the mean of its divisors is an integer number (174096).

Almost surely, 2^4115760 is an apocalyptic number.

4115760 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 4115760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6963840).

4115760 is an abundant number, since it is smaller than the sum of its proper divisors (9811920).

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

4115760 is a wasteful number, since it uses less digits than its factorization.

4115760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 4115760 is about 2028.7335951278. The cubic root of 4115760 is about 160.2568790282.

The spelling of 4115760 in words is "four million, one hundred fifteen thousand, seven hundred sixty".