4606560 has 144 divisors (see below), whose sum is σ = 18004896. Its totient is φ = 1050624.

The previous prime is 4606559. The next prime is 4606561. The reversal of 4606560 is 656064.

4606560 is a `hidden beast` number, since 4 + 6 + 0 + 656 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4606559) and next prime (4606561).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4606561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9852 + ... + 10308.

It is an arithmetic number, because the mean of its divisors is an integer number (125034).

Almost surely, 2^4606560 is an apocalyptic number.

4606560 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 4606560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9002448).

4606560 is an abundant number, since it is smaller than the sum of its proper divisors (13398336).

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

4606560 is a wasteful number, since it uses less digits than its factorization.

4606560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4606560 is about 2146.2898219952. The cubic root of 4606560 is about 166.3893700064.

The spelling of 4606560 in words is "four million, six hundred six thousand, five hundred sixty".