8815680 has 84 divisors (see below), whose sum is σ = 30332172. Its totient is φ = 2350080.

The previous prime is 8815663. The next prime is 8815759. The reversal of 8815680 is 865188.

It can be written as a sum of positive squares in 2 ways, for example, as 6230016 + 2585664 = 2496^2 + 1608^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1350 + ... + 4410.

Almost surely, 2^8815680 is an apocalyptic number.

8815680 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 8815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15166086).

8815680 is an abundant number, since it is smaller than the sum of its proper divisors (21516492).

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

8815680 is a wasteful number, since it uses less digits than its factorization.

8815680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3084 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 8815680 is about 2969.1210820713. The cubic root of 8815680 is about 206.5785726983.

It can be divided in two parts, 881 and 5680, that added together give a 8-th power (6561 = 3⁸).

The spelling of 8815680 in words is "eight million, eight hundred fifteen thousand, six hundred eighty".