8685830400 has 864 divisors, whose sum is σ = 34490292480. Its totient is φ = 1903165440.

The previous prime is 8685830399. The next prime is 8685830407. The reversal of 8685830400 is 40385868.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8685830407) 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 95 ways as a sum of consecutive naturals, for example, 97593556 + ... + 97593644.

It is an arithmetic number, because the mean of its divisors is an integer number (39919320).

Almost surely, 2^8685830400 is an apocalyptic number.

8685830400 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 8685830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17245146240).

8685830400 is an abundant number, since it is smaller than the sum of its proper divisors (25804462080).

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

8685830400 is a wasteful number, since it uses less digits than its factorization.

8685830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 8685830400 is about 93197.8025492018. The cubic root of 8685830400 is about 2055.5929286390.

The spelling of 8685830400 in words is "eight billion, six hundred eighty-five million, eight hundred thirty thousand, four hundred".