9864000 has 168 divisors, whose sum is σ = 35542728. Its totient is φ = 2611200.

The previous prime is 9863951. The next prime is 9864007. The reversal of 9864000 is 4689.

It can be written as a sum of positive squares in 4 ways, for example, as 278784 + 9585216 = 528^2 + 3096^2 .

It is an Ulam number.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9864007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71932 + ... + 72068.

Almost surely, 2^9864000 is an apocalyptic number.

9864000 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 9864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17771364).

9864000 is an abundant number, since it is smaller than the sum of its proper divisors (25678728).

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

9864000 is a wasteful number, since it uses less digits than its factorization.

9864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 9864000 is about 3140.7005587926. The cubic root of 9864000 is about 214.4623305817.

Adding to 9864000 its reverse (4689), we get a palindrome (9868689).

The spelling of 9864000 in words is "nine million, eight hundred sixty-four thousand".