4686560 has 48 divisors (see below), whose sum is σ = 11730096. Its totient is φ = 1763328.

The previous prime is 4686557. The next prime is 4686571. The reversal of 4686560 is 656864.

It is a self number, because there is not a number n which added to its sum of digits gives 4686560.

It is a congruent number.

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, 1859 + ... + 3581.

It is an arithmetic number, because the mean of its divisors is an integer number (244377).

Almost surely, 2^4686560 is an apocalyptic number.

4686560 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 4686560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5865048).

4686560 is an abundant number, since it is smaller than the sum of its proper divisors (7043536).

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

4686560 is a wasteful number, since it uses less digits than its factorization.

4686560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 4686560 is about 2164.8464148757. The cubic root of 4686560 is about 167.3470498043.

The spelling of 4686560 in words is "four million, six hundred eighty-six thousand, five hundred sixty".