8214660 has 72 divisors (see below), whose sum is σ = 25474176. Its totient is φ = 2141760.

The previous prime is 8214643. The next prime is 8214667. The reversal of 8214660 is 664128.

It is not an unprimeable number, because it can be changed into a prime (8214667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7975 + ... + 8945.

It is an arithmetic number, because the mean of its divisors is an integer number (353808).

Almost surely, 2^8214660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8214660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12737088).

8214660 is an abundant number, since it is smaller than the sum of its proper divisors (17259516).

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

8214660 is a wasteful number, since it uses less digits than its factorization.

8214660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8214660 is about 2866.1228166288. The cubic root of 8214660 is about 201.7730680311.

Adding to 8214660 its reverse (664128), we get a palindrome (8878788).

The spelling of 8214660 in words is "eight million, two hundred fourteen thousand, six hundred sixty".