4102560 has 288 divisors, whose sum is σ = 17926272. Its totient is φ = 829440.

The previous prime is 4102541. The next prime is 4102561. The reversal of 4102560 is 652014.

It is a happy number.

4102560 is a `hidden beast` number, since 4 + 102 + 560 = 666.

4102560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4102561) 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 47 ways as a sum of consecutive naturals, for example, 110862 + ... + 110898.

It is an arithmetic number, because the mean of its divisors is an integer number (62244).

Almost surely, 2^4102560 is an apocalyptic number.

4102560 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 4102560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8963136).

4102560 is an abundant number, since it is smaller than the sum of its proper divisors (13823712).

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

4102560 is a wasteful number, since it uses less digits than its factorization.

4102560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4102560 is about 2025.4777214277. The cubic root of 4102560 is about 160.0853711072.

Adding to 4102560 its reverse (652014), we get a palindrome (4754574).

The spelling of 4102560 in words is "four million, one hundred two thousand, five hundred sixty".