9738456 has 120 divisors (see below), whose sum is σ = 30754980. Its totient is φ = 2568384.

The previous prime is 9738451. The next prime is 9738493. The reversal of 9738456 is 6548379.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (181440) is a multiple of the sum of its prime factors (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9738451) 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, 749106 + ... + 749118.

Almost surely, 2^9738456 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 9738456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15377490).

9738456 is an abundant number, since it is smaller than the sum of its proper divisors (21016524).

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

9738456 is a wasteful number, since it uses less digits than its factorization.

9738456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 25 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 9738456 is about 3120.6499323058. The cubic root of 9738456 is about 213.5485869892.

The spelling of 9738456 in words is "nine million, seven hundred thirty-eight thousand, four hundred fifty-six".