8120448 has 192 divisors, whose sum is σ = 28641600. Its totient is φ = 2156544.

The previous prime is 8120393. The next prime is 8120459. The reversal of 8120448 is 8440218.

8120448 = 72³ + 73³ + ... + 87³.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153190 + ... + 153242.

It is an arithmetic number, because the mean of its divisors is an integer number (149175).

Almost surely, 2^8120448 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 8120448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14320800).

8120448 is an abundant number, since it is smaller than the sum of its proper divisors (20521152).

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

8120448 is a wasteful number, since it uses less digits than its factorization.

8120448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 8120448 is about 2849.6399772603. The cubic root of 8120448 is about 200.9987376471.

The spelling of 8120448 in words is "eight million, one hundred twenty thousand, four hundred forty-eight".