9930240 has 120 divisors (see below), whose sum is σ = 34471008. Its totient is φ = 2641920.

The previous prime is 9930233. The next prime is 9930247. The reversal of 9930240 is 420399.

It is an interprime number because it is at equal distance from previous prime (9930233) and next prime (9930247).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9930247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22825 + ... + 23255.

Almost surely, 2^9930240 is an apocalyptic number.

9930240 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 9930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17235504).

9930240 is an abundant number, since it is smaller than the sum of its proper divisors (24540768).

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

9930240 is a wasteful number, since it uses less digits than its factorization.

9930240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 441 counting only the distinct ones).

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

The square root of 9930240 is about 3151.2283319366. The cubic root of 9930240 is about 214.9413216468.

The spelling of 9930240 in words is "nine million, nine hundred thirty thousand, two hundred forty".