9744000 has 256 divisors, whose sum is σ = 38188800. Its totient is φ = 2150400.

The previous prime is 9743989. The next prime is 9744001. The reversal of 9744000 is 4479.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (9744001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 335986 + ... + 336014.

It is an arithmetic number, because the mean of its divisors is an integer number (149175).

Almost surely, 2^9744000 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 9744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19094400).

9744000 is an abundant number, since it is smaller than the sum of its proper divisors (28444800).

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

9744000 is a wasteful number, since it uses less digits than its factorization.

9744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 9744000 is about 3121.5380824203. The cubic root of 9744000 is about 213.5891029523.

Adding to 9744000 its reverse (4479), we get a palindrome (9748479).

The spelling of 9744000 in words is "nine million, seven hundred forty-four thousand".