9738144 has 180 divisors, whose sum is σ = 32763654. Its totient is φ = 2820096.

The previous prime is 9738139. The next prime is 9738149. The reversal of 9738144 is 4418379.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9738139) and next prime (9738149).

It can be written as a sum of positive squares in 3 ways, for example, as 8928144 + 810000 = 2988^2 + 900^2 .

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

It is a nialpdrome in base 6.

It is a zygodrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 9738099 and 9738108.

It is not an unprimeable number, because it can be changed into a prime (9738149) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 572824 + ... + 572840.

Almost surely, 2^9738144 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 9738144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16381827).

9738144 is an abundant number, since it is smaller than the sum of its proper divisors (23025510).

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

9738144 is a wasteful number, since it uses less digits than its factorization.

9738144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 35 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 9738144 is about 3120.5999423188. The cubic root of 9738144 is about 213.5463064130.

The spelling of 9738144 in words is "nine million, seven hundred thirty-eight thousand, one hundred forty-four".