8288560 has 120 divisors (see below), whose sum is σ = 23810976. Its totient is φ = 2626560.

The previous prime is 8288557. The next prime is 8288569. The reversal of 8288560 is 658828.

It is not an unprimeable number, because it can be changed into a prime (8288569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202140 + ... + 202180.

Almost surely, 2^8288560 is an apocalyptic number.

8288560 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 8288560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11905488).

8288560 is an abundant number, since it is smaller than the sum of its proper divisors (15522416).

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

8288560 is a wasteful number, since it uses less digits than its factorization.

8288560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 8288560 is about 2878.9859325811. The cubic root of 8288560 is about 202.3763203510.

The spelling of 8288560 in words is "eight million, two hundred eighty-eight thousand, five hundred sixty".