8660000 has 60 divisors (see below), whose sum is σ = 21354102. Its totient is φ = 3456000.

The previous prime is 8659999. The next prime is 8660033. The reversal of 8660000 is 668.

It can be written as a sum of positive squares in 5 ways, for example, as 110224 + 8549776 = 332^2 + 2924^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19784 + ... + 20216.

Almost surely, 2^8660000 is an apocalyptic number.

8660000 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 8660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10677051).

8660000 is an abundant number, since it is smaller than the sum of its proper divisors (12694102).

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

8660000 is an equidigital number, since it uses as much as digits as its factorization.

8660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 8660000 is about 2942.7877939124. The cubic root of 8660000 is about 205.3553226952.

Adding to 8660000 its reverse (668), we get a palindrome (8660668).

The spelling of 8660000 in words is "eight million, six hundred sixty thousand".