8486800 has 90 divisors (see below), whose sum is σ = 23773218. Its totient is φ = 2903040.

The previous prime is 8486783. The next prime is 8486809. The reversal of 8486800 is 86848.

It can be written as a sum of positive squares in 3 ways, for example, as 7056 + 8479744 = 84^2 + 2912^2 .

It is not an unprimeable number, because it can be changed into a prime (8486809) 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 17 ways as a sum of consecutive naturals, for example, 19384 + ... + 19816.

Almost surely, 2^8486800 is an apocalyptic number.

8486800 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 8486800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11886609).

8486800 is an abundant number, since it is smaller than the sum of its proper divisors (15286418).

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

8486800 is a wasteful number, since it uses less digits than its factorization.

8486800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 8486800 is about 2913.2112865359. The cubic root of 8486800 is about 203.9770575250.

The spelling of 8486800 in words is "eight million, four hundred eighty-six thousand, eight hundred".