9685882800 has 360 divisors, whose sum is σ = 38030690880. Its totient is φ = 2347833600.

The previous prime is 9685882799. The next prime is 9685882807. The reversal of 9685882800 is 82885869.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9685882807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1064671 + ... + 1073729.

It is an arithmetic number, because the mean of its divisors is an integer number (105640808).

Almost surely, 2^9685882800 is an apocalyptic number.

9685882800 is a gapful number since it is divisible by the number (90) 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 9685882800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19015345440).

9685882800 is an abundant number, since it is smaller than the sum of its proper divisors (28344808080).

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

9685882800 is a wasteful number, since it uses less digits than its factorization.

9685882800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9103 (or 9080 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The square root of 9685882800 is about 98416.8826980412. The cubic root of 9685882800 is about 2131.6361164654.

The spelling of 9685882800 in words is "nine billion, six hundred eighty-five million, eight hundred eighty-two thousand, eight hundred".