8260257024 has 216 divisors, whose sum is σ = 26034607872. Its totient is φ = 2507489280.

The previous prime is 8260256969. The next prime is 8260257037. The reversal of 8260257024 is 4207520628.

8260257024 is a `hidden beast` number, since 8 + 2 + 60 + 2 + 570 + 24 = 666.

It is a super-2 number, since 2×8260257024² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8260257024.

It is a congruent number.

It is an unprimeable number.

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, 1210807 + ... + 1217609.

It is an arithmetic number, because the mean of its divisors is an integer number (120530592).

Almost surely, 2^8260257024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8260257024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13017303936).

8260257024 is an abundant number, since it is smaller than the sum of its proper divisors (17774350848).

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

8260257024 is a wasteful number, since it uses less digits than its factorization.

8260257024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6873 (or 6856 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 8260257024 is about 90885.9561428497. The cubic root of 8260257024 is about 2021.4570593890.

The spelling of 8260257024 in words is "eight billion, two hundred sixty million, two hundred fifty-seven thousand, twenty-four".