8685600 has 288 divisors, whose sum is σ = 35997696. Its totient is φ = 1766400.

The previous prime is 8685583. The next prime is 8685601. The reversal of 8685600 is 65868.

It is a super-3 number, since 3×8685600³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8685601) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 184777 + ... + 184823.

It is an arithmetic number, because the mean of its divisors is an integer number (124992).

Almost surely, 2^8685600 is an apocalyptic number.

8685600 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 8685600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17998848).

8685600 is an abundant number, since it is smaller than the sum of its proper divisors (27312096).

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

8685600 is a wasteful number, since it uses less digits than its factorization.

8685600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 8685600 is about 2947.1342012199. The cubic root of 8685600 is about 205.5574752952.

The spelling of 8685600 in words is "eight million, six hundred eighty-five thousand, six hundred".