8064576 has 112 divisors (see below), whose sum is σ = 25603200. Its totient is φ = 2474496.

The previous prime is 8064571. The next prime is 8064587. The reversal of 8064576 is 6754608.

It is a happy number.

8064576 is a `hidden beast` number, since 8 + 0 + 645 + 7 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8064576.

It is not an unprimeable number, because it can be changed into a prime (8064571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22285 + ... + 22643.

It is an arithmetic number, because the mean of its divisors is an integer number (228600).

Almost surely, 2^8064576 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 8064576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12801600).

8064576 is an abundant number, since it is smaller than the sum of its proper divisors (17538624).

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

8064576 is a wasteful number, since it uses less digits than its factorization.

8064576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 8064576 is about 2839.8197125874. The cubic root of 8064576 is about 200.5366918544.

The spelling of 8064576 in words is "eight million, sixty-four thousand, five hundred seventy-six".