8320128 has 64 divisors (see below), whose sum is σ = 22619520. Its totient is φ = 2708480.

The previous prime is 8320111. The next prime is 8320159. The reversal of 8320128 is 8210238.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 8320098 and 8320107.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17818 + ... + 18278.

It is an arithmetic number, because the mean of its divisors is an integer number (353430).

Almost surely, 2^8320128 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 8320128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11309760).

8320128 is an abundant number, since it is smaller than the sum of its proper divisors (14299392).

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

8320128 is a wasteful number, since it uses less digits than its factorization.

8320128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 8320128 is about 2884.4632082937. The cubic root of 8320128 is about 202.6329198966.

It can be divided in two parts, 8320 and 128, that added together give a palindrome (8448).

The spelling of 8320128 in words is "eight million, three hundred twenty thousand, one hundred twenty-eight".