4114560 has 64 divisors (see below), whose sum is σ = 13121280. Its totient is φ = 1096704.

The previous prime is 4114519. The next prime is 4114571. The reversal of 4114560 is 654114.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 849 + ... + 2991.

It is an arithmetic number, because the mean of its divisors is an integer number (205020).

Almost surely, 2^4114560 is an apocalyptic number.

4114560 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 4114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6560640).

4114560 is an abundant number, since it is smaller than the sum of its proper divisors (9006720).

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

4114560 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 12 representation: 4114560 = (1465140)₁₂.

4114560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 4114560 is about 2028.4378225620. The cubic root of 4114560 is about 160.2413025654.

Adding to 4114560 its reverse (654114), we get a palindrome (4768674).

The spelling of 4114560 in words is "four million, one hundred fourteen thousand, five hundred sixty".