8688800 has 36 divisors (see below), whose sum is σ = 21213486. Its totient is φ = 3475200.

The previous prime is 8688791. The next prime is 8688809. The reversal of 8688800 is 88868.

It is an interprime number because it is at equal distance from previous prime (8688791) and next prime (8688809).

It can be written as a sum of positive squares in 3 ways, for example, as 6012304 + 2676496 = 2452^2 + 1636^2 .

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (8688809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4631 + ... + 6230.

Almost surely, 2^8688800 is an apocalyptic number.

8688800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8688800 is an abundant number, since it is smaller than the sum of its proper divisors (12524686).

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

8688800 is a wasteful number, since it uses less digits than its factorization.

8688800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10881 (or 10868 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 38.

The square root of 8688800 is about 2947.6770515102. The cubic root of 8688800 is about 205.5827164283.

The spelling of 8688800 in words is "eight million, six hundred eighty-eight thousand, eight hundred".