9809424 has 105 divisors (see below), whose sum is σ = 29512093. Its totient is φ = 3157056.

The previous prime is 9809419. The next prime is 9809447. The reversal of 9809424 is 4249089.

It is a happy number.

The square root of 9809424 is 3132.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5143824 + 4665600 = 2268^2 + 2160^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 338242 + ... + 338270.

Almost surely, 2^9809424 is an apocalyptic number.

9809424 is the 3132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9809424

9809424 is an abundant number, since it is smaller than the sum of its proper divisors (19702669).

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

9809424 is an equidigital number, since it uses as much as digits as its factorization.

9809424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The cubic root of 9809424 is about 214.0660697968.

Multiplying 9809424 by its sum of digits (36), we get a square (353139264 = 18792²).

9809424 divided by its sum of digits (36) gives a square (272484 = 522²).

Multiplying 9809424 by its product of nonzero digits (20736), we get a square (203408216064 = 451008²).

It can be divided in two parts, 980 and 9424, that added together give a square (10404 = 102²).

The spelling of 9809424 in words is "nine million, eight hundred nine thousand, four hundred twenty-four".