9352506240 has 1152 divisors, whose sum is σ = 42664527360. Its totient is φ = 1916006400.

The previous prime is 9352506227. The next prime is 9352506263. The reversal of 9352506240 is 426052539.

9352506240 is a `hidden beast` number, since 9 + 3 + 5 + 25 + 0 + 624 + 0 = 666.

9352506240 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 (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 9352506195 and 9352506204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 131725405 + ... + 131725475.

It is an arithmetic number, because the mean of its divisors is an integer number (37035180).

Almost surely, 2^9352506240 is an apocalyptic number.

9352506240 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 9352506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21332263680).

9352506240 is an abundant number, since it is smaller than the sum of its proper divisors (33312021120).

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

9352506240 is a wasteful number, since it uses less digits than its factorization.

9352506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 9352506240 is about 96708.3566192705. The cubic root of 9352506240 is about 2106.8939152032.

Adding to 9352506240 its reverse (426052539), we get a palindrome (9778558779).

The spelling of 9352506240 in words is "nine billion, three hundred fifty-two million, five hundred six thousand, two hundred forty".