9261066240 has 216 divisors, whose sum is σ = 32198763870. Its totient is φ = 2461827072.

The previous prime is 9261066229. The next prime is 9261066257. The reversal of 9261066240 is 426601629.

9261066240 is a `hidden beast` number, since 9 + 26 + 1 + 0 + 6 + 624 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2618164224 + 6642902016 = 51168^2 + 81504^2 .

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 = 9261066195 and 9261066204.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 29214562 + ... + 29214878.

Almost surely, 2^9261066240 is an apocalyptic number.

9261066240 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 9261066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16099381935).

9261066240 is an abundant number, since it is smaller than the sum of its proper divisors (22937697630).

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

9261066240 is an equidigital number, since it uses as much as digits as its factorization.

9261066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 9261066240 is about 96234.4337542441. The cubic root of 9261066240 is about 2100.0050067908.

Adding to 9261066240 its reverse (426601629), we get a palindrome (9687667869).

The spelling of 9261066240 in words is "nine billion, two hundred sixty-one million, sixty-six thousand, two hundred forty".