8124061104 has 160 divisors (see below), whose sum is σ = 24405580800. Its totient is φ = 2582553600.

The previous prime is 8124061087. The next prime is 8124061117. The reversal of 8124061104 is 4011604218.

It is a happy number.

8124061104 is a `hidden beast` number, since 8 + 1 + 2 + 40 + 611 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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, 3983317 + ... + 3985355.

It is an arithmetic number, because the mean of its divisors is an integer number (152534880).

Almost surely, 2^8124061104 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 8124061104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12202790400).

8124061104 is an abundant number, since it is smaller than the sum of its proper divisors (16281519696).

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

8124061104 is a wasteful number, since it uses less digits than its factorization.

8124061104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8124061104 is about 90133.5736781805. The cubic root of 8124061104 is about 2010.2854395253.

The spelling of 8124061104 in words is "eight billion, one hundred twenty-four million, sixty-one thousand, one hundred four".