8814500 has 72 divisors (see below), whose sum is σ = 20785128. Its totient is φ = 3264000.

The previous prime is 8814493. The next prime is 8814511. The reversal of 8814500 is 54188.

It can be written as a sum of positive squares in 12 ways, for example, as 6280036 + 2534464 = 2506^2 + 1592^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8814500.

It is an unprimeable number.

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, 144470 + ... + 144530.

Almost surely, 2^8814500 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 8814500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10392564).

8814500 is an abundant number, since it is smaller than the sum of its proper divisors (11970628).

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

8814500 is a wasteful number, since it uses less digits than its factorization.

8814500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 8814500 is about 2968.9223634174. The cubic root of 8814500 is about 206.5693552738.

Adding to 8814500 its reverse (54188), we get a palindrome (8868688).

The spelling of 8814500 in words is "eight million, eight hundred fourteen thousand, five hundred".