9240082560 has 512 divisors, whose sum is σ = 34757683200. Its totient is φ = 2315022336.

The previous prime is 9240082541. The next prime is 9240082561. The reversal of 9240082560 is 652800429.

It is a happy number.

9240082560 is a `hidden beast` number, since 92 + 4 + 0 + 0 + 8 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9240082561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26628307 + ... + 26628653.

It is an arithmetic number, because the mean of its divisors is an integer number (67886100).

Almost surely, 2^9240082560 is an apocalyptic number.

9240082560 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 9240082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17378841600).

9240082560 is an abundant number, since it is smaller than the sum of its proper divisors (25517600640).

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

9240082560 is a wasteful number, since it uses less digits than its factorization.

9240082560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 9240082560 is about 96125.3481658194. The cubic root of 9240082560 is about 2098.4177469203.

Adding to 9240082560 its reverse (652800429), we get a palindrome (9892882989).

The spelling of 9240082560 in words is "nine billion, two hundred forty million, eighty-two thousand, five hundred sixty".