9864800 has 144 divisors (see below), whose sum is σ = 28123200. Its totient is φ = 3340800.

The previous prime is 9864791. The next prime is 9864817. The reversal of 9864800 is 84689.

9864800 = 71³ + 72³ + ... + 89³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167171 + ... + 167229.

It is an arithmetic number, because the mean of its divisors is an integer number (195300).

Almost surely, 2^9864800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9864800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14061600).

9864800 is an abundant number, since it is smaller than the sum of its proper divisors (18258400).

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

9864800 is a wasteful number, since it uses less digits than its factorization.

9864800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 9864800 is about 3140.8279163303. The cubic root of 9864800 is about 214.4681282711.

It can be divided in two parts, 98 and 64800, that multiplied together give a square (6350400 = 2520²).

The spelling of 9864800 in words is "nine million, eight hundred sixty-four thousand, eight hundred".