9748320 has 96 divisors (see below), whose sum is σ = 32078592. Its totient is φ = 2483712.

The previous prime is 9748313. The next prime is 9748331. The reversal of 9748320 is 238479.

9748320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

9748320 is a nontrivial binomial coefficient, being equal to C(4416, 2).

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10599 + ... + 11481.

It is an arithmetic number, because the mean of its divisors is an integer number (334152).

Almost surely, 2^9748320 is an apocalyptic number.

9748320 is the 4415-th triangular number and also the 2208-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9748320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16039296).

9748320 is an abundant number, since it is smaller than the sum of its proper divisors (22330272).

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

9748320 is a wasteful number, since it uses less digits than its factorization.

9748320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 9748320 is about 3122.2299723115. The cubic root of 9748320 is about 213.6206631808.

The spelling of 9748320 in words is "nine million, seven hundred forty-eight thousand, three hundred twenty".