8121104 has 40 divisors (see below), whose sum is σ = 16929720. Its totient is φ = 3760128.

The previous prime is 8121103. The next prime is 8121119. The reversal of 8121104 is 4011218.

It can be written as a sum of positive squares in 4 ways, for example, as 4326400 + 3794704 = 2080^2 + 1948^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (8121103) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 19652 + ... + 20060.

It is an arithmetic number, because the mean of its divisors is an integer number (423243).

Almost surely, 2^8121104 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 8121104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8464860).

8121104 is an abundant number, since it is smaller than the sum of its proper divisors (8808616).

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

8121104 is a wasteful number, since it uses less digits than its factorization.

8121104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 8121104 is about 2849.7550771952. The cubic root of 8121104 is about 201.0041499766.

The spelling of 8121104 in words is "eight million, one hundred twenty-one thousand, one hundred four".