8346528 has 72 divisors (see below), whose sum is σ = 24121188. Its totient is φ = 2737152.

The previous prime is 8346521. The next prime is 8346551. The reversal of 8346528 is 8256438.

It can be written as a sum of positive squares in 2 ways, for example, as 8225424 + 121104 = 2868^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 8346492 and 8346501.

It is not an unprimeable number, because it can be changed into a prime (8346521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20826 + ... + 21222.

Almost surely, 2^8346528 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 8346528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12060594).

8346528 is an abundant number, since it is smaller than the sum of its proper divisors (15774660).

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

8346528 is a wasteful number, since it uses less digits than its factorization.

8346528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 475 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 8346528 is about 2889.0358253230. The cubic root of 8346528 is about 202.8470135976.

The spelling of 8346528 in words is "eight million, three hundred forty-six thousand, five hundred twenty-eight".