4135560 has 128 divisors (see below), whose sum is σ = 14636160. Its totient is φ = 921600.

The previous prime is 4135541. The next prime is 4135567. The reversal of 4135560 is 655314.

4135560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4135560.

It is not an unprimeable number, because it can be changed into a prime (4135567) 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 31 ways as a sum of consecutive naturals, for example, 17040 + ... + 17280.

It is an arithmetic number, because the mean of its divisors is an integer number (114345).

Almost surely, 2^4135560 is an apocalyptic number.

4135560 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 4135560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7318080).

4135560 is an abundant number, since it is smaller than the sum of its proper divisors (10500600).

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

4135560 is a wasteful number, since it uses less digits than its factorization.

4135560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 4135560 is about 2033.6076317717. The cubic root of 4135560 is about 160.5134546809.

The spelling of 4135560 in words is "four million, one hundred thirty-five thousand, five hundred sixty".