9788544 has 96 divisors (see below), whose sum is σ = 29238300. Its totient is φ = 3139584.

The previous prime is 9788543. The next prime is 9788551. The reversal of 9788544 is 4458879.

It can be written as a sum of positive squares in 2 ways, for example, as 9000000 + 788544 = 3000^2 + 888^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 9788544.

It is not an unprimeable number, because it can be changed into a prime (9788543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33262 + ... + 33554.

Almost surely, 2^9788544 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 9788544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14619150).

9788544 is an abundant number, since it is smaller than the sum of its proper divisors (19449756).

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

9788544 is a wasteful number, since it uses less digits than its factorization.

9788544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 327 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 9788544 is about 3128.6648909719. The cubic root of 9788544 is about 213.9140773644.

It can be divided in two parts, 9 and 788544, that multiplied together give a square (7096896 = 2664²).

The spelling of 9788544 in words is "nine million, seven hundred eighty-eight thousand, five hundred forty-four".