8509260240 has 480 divisors, whose sum is σ = 33233185440. Its totient is φ = 1932263424.

The previous prime is 8509260233. The next prime is 8509260241. The reversal of 8509260240 is 420629058.

It is a happy number.

8509260240 is a `hidden beast` number, since 8 + 5 + 0 + 9 + 2 + 602 + 40 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1926858816 + 6582401424 = 43896^2 + 81132^2 .

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 = 8509260195 and 8509260204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8509260241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8432856 + ... + 8433864.

It is an arithmetic number, because the mean of its divisors is an integer number (69235803).

Almost surely, 2^8509260240 is an apocalyptic number.

8509260240 is a gapful number since it is divisible by the number (80) 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 8509260240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16616592720).

8509260240 is an abundant number, since it is smaller than the sum of its proper divisors (24723925200).

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

8509260240 is a wasteful number, since it uses less digits than its factorization.

8509260240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1102 counting only the distinct ones).

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

The square root of 8509260240 is about 92245.6516048318. The cubic root of 8509260240 is about 2041.5684017087.

Adding to 8509260240 its reverse (420629058), we get a palindrome (8929889298).

The spelling of 8509260240 in words is "eight billion, five hundred nine million, two hundred sixty thousand, two hundred forty".