8124260540 has 96 divisors (see below), whose sum is σ = 19884614400. Its totient is φ = 2756920320.

The previous prime is 8124260519. The next prime is 8124260549. The reversal of 8124260540 is 450624218.

It is a junction number, because it is equal to n+sod(n) for n = 8124260497 and 8124260506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8124260549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265556 + ... + 294564.

It is an arithmetic number, because the mean of its divisors is an integer number (207131400).

Almost surely, 2^8124260540 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 8124260540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9942307200).

8124260540 is an abundant number, since it is smaller than the sum of its proper divisors (11760353860).

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

8124260540 is a wasteful number, since it uses less digits than its factorization.

8124260540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29115 (or 29113 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 8124260540 is about 90134.6800071981. The cubic root of 8124260540 is about 2010.3018894264.

Adding to 8124260540 its reverse (450624218), we get a palindrome (8574884758).

The spelling of 8124260540 in words is "eight billion, one hundred twenty-four million, two hundred sixty thousand, five hundred forty".