8260093440 has 240 divisors, whose sum is σ = 30114255600. Its totient is φ = 2086649856.

The previous prime is 8260093417. The next prime is 8260093441. The reversal of 8260093440 is 443900628.

It is a happy number.

8260093440 is a `hidden beast` number, since 8 + 2 + 600 + 9 + 3 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 8260093395 and 8260093404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8260093441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 428326 + ... + 447194.

It is an arithmetic number, because the mean of its divisors is an integer number (125476065).

Almost surely, 2^8260093440 is an apocalyptic number.

8260093440 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 8260093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15057127800).

8260093440 is an abundant number, since it is smaller than the sum of its proper divisors (21854162160).

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

8260093440 is a wasteful number, since it uses less digits than its factorization.

8260093440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18917 (or 18898 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 8260093440 is about 90885.0561973749. The cubic root of 8260093440 is about 2021.4437151628.

The spelling of 8260093440 in words is "eight billion, two hundred sixty million, ninety-three thousand, four hundred forty".