8256000240 has 120 divisors (see below), whose sum is σ = 27748290960. Its totient is φ = 2199862272.

The previous prime is 8256000187. The next prime is 8256000257. The reversal of 8256000240 is 420006528.

8256000240 is a `hidden beast` number, since 82 + 560 + 0 + 0 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1092796 + ... + 1100324.

It is an arithmetic number, because the mean of its divisors is an integer number (231235758).

Almost surely, 2^8256000240 is an apocalyptic number.

8256000240 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 8256000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13874145480).

8256000240 is an abundant number, since it is smaller than the sum of its proper divisors (19492290720).

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

8256000240 is a wasteful number, since it uses less digits than its factorization.

8256000240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9071 (or 9062 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 8256000240 is about 90862.5348534807. The cubic root of 8256000240 is about 2021.1097584678.

Adding to 8256000240 its reverse (420006528), we get a palindrome (8676006768).

The spelling of 8256000240 in words is "eight billion, two hundred fifty-six million, two hundred forty", and thus it is an aban number.