9865800 has 288 divisors, whose sum is σ = 40622400. Its totient is φ = 2177280.

The previous prime is 9865787. The next prime is 9865811. The reversal of 9865800 is 85689.

9865800 = 145² + 146² + ... + 319².

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 340186 + ... + 340214.

It is an arithmetic number, because the mean of its divisors is an integer number (141050).

Almost surely, 2^9865800 is an apocalyptic number.

9865800 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 9865800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20311200).

9865800 is an abundant number, since it is smaller than the sum of its proper divisors (30756600).

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

9865800 is a wasteful number, since it uses less digits than its factorization.

9865800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 9865800 is about 3140.9871059907. The cubic root of 9865800 is about 214.4753749422.

It can be divided in two parts, 986 and 5800, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 9865800 in words is "nine million, eight hundred sixty-five thousand, eight hundred".