8800560 has 120 divisors (see below), whose sum is σ = 31337280. Its totient is φ = 2205696.

The previous prime is 8800541. The next prime is 8800579. The reversal of 8800560 is 650088.

It is an interprime number because it is at equal distance from previous prime (8800541) and next prime (8800579).

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11881 + ... + 12599.

It is an arithmetic number, because the mean of its divisors is an integer number (261144).

Almost surely, 2^8800560 is an apocalyptic number.

8800560 is a gapful number since it is divisible by the number (80) 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 8800560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15668640).

8800560 is an abundant number, since it is smaller than the sum of its proper divisors (22536720).

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

8800560 is a wasteful number, since it uses less digits than its factorization.

8800560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 8800560 is about 2966.5737813174. The cubic root of 8800560 is about 206.4604023686.

The spelling of 8800560 in words is "eight million, eight hundred thousand, five hundred sixty".