8628560 has 20 divisors (see below), whose sum is σ = 20061588. Its totient is φ = 3451392.

The previous prime is 8628553. The next prime is 8628601. The reversal of 8628560 is 658268.

It can be written as a sum of positive squares in 2 ways, for example, as 2849344 + 5779216 = 1688^2 + 2404^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 8628560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53849 + ... + 54008.

Almost surely, 2^8628560 is an apocalyptic number.

8628560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8628560 is an abundant number, since it is smaller than the sum of its proper divisors (11433028).

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

8628560 is a wasteful number, since it uses less digits than its factorization.

8628560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107870 (or 107864 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 8628560 is about 2937.4410632385. The cubic root of 8628560 is about 205.1065082073.

The spelling of 8628560 in words is "eight million, six hundred twenty-eight thousand, five hundred sixty".