9706320 has 240 divisors, whose sum is σ = 37778832. Its totient is φ = 2211840.

The previous prime is 9706309. The next prime is 9706349. The reversal of 9706320 is 236079.

It can be written as a sum of positive squares in 8 ways, for example, as 1617984 + 8088336 = 1272^2 + 2844^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159090 + ... + 159150.

Almost surely, 2^9706320 is an apocalyptic number.

9706320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9706320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18889416).

9706320 is an abundant number, since it is smaller than the sum of its proper divisors (28072512).

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

9706320 is a wasteful number, since it uses less digits than its factorization.

9706320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 9706320 is about 3115.4967501187. The cubic root of 9706320 is about 213.3134313031.

The spelling of 9706320 in words is "nine million, seven hundred six thousand, three hundred twenty".