8124442560 has 896 divisors, whose sum is σ = 33591398400. Its totient is φ = 1854296064.

The previous prime is 8124442531. The next prime is 8124442591. The reversal of 8124442560 is 652444218.

8124442560 is a `hidden beast` number, since 8 + 12 + 44 + 42 + 560 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 172860457 + ... + 172860503.

It is an arithmetic number, because the mean of its divisors is an integer number (37490400).

Almost surely, 2^8124442560 is an apocalyptic number.

8124442560 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 8124442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16795699200).

8124442560 is an abundant number, since it is smaller than the sum of its proper divisors (25466955840).

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

8124442560 is a wasteful number, since it uses less digits than its factorization.

8124442560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 8124442560 is about 90135.6897127880. The cubic root of 8124442560 is about 2010.3169025842.

Adding to 8124442560 its reverse (652444218), we get a palindrome (8776886778).

The spelling of 8124442560 in words is "eight billion, one hundred twenty-four million, four hundred forty-two thousand, five hundred sixty".