9940320 has 240 divisors, whose sum is σ = 38419920. Its totient is φ = 2405376.

The previous prime is 9940313. The next prime is 9940331. The reversal of 9940320 is 230499.

9940320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 168451 + ... + 168509.

It is an arithmetic number, because the mean of its divisors is an integer number (160083).

Almost surely, 2^9940320 is an apocalyptic number.

9940320 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 9940320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19209960).

9940320 is an abundant number, since it is smaller than the sum of its proper divisors (28479600).

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

9940320 is a wasteful number, since it uses less digits than its factorization.

9940320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 9940320 is about 3152.8273025968. The cubic root of 9940320 is about 215.0140246846.

The spelling of 9940320 in words is "nine million, nine hundred forty thousand, three hundred twenty".