9738240 has 96 divisors (see below), whose sum is σ = 31253040. Its totient is φ = 2588672.

The previous prime is 9738221. The next prime is 9738257. The reversal of 9738240 is 428379.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30562 + ... + 30878.

Almost surely, 2^9738240 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 9738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15626520).

9738240 is an abundant number, since it is smaller than the sum of its proper divisors (21514800).

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

9738240 is a wasteful number, since it uses less digits than its factorization.

9738240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 327 counting only the distinct ones).

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

The square root of 9738240 is about 3120.6153239385. The cubic root of 9738240 is about 213.5470081340.

The spelling of 9738240 in words is "nine million, seven hundred thirty-eight thousand, two hundred forty".