8020864 has 32 divisors (see below), whose sum is σ = 16107840. Its totient is φ = 3978240.

The previous prime is 8020801. The next prime is 8020867. The reversal of 8020864 is 4680208.

8020864 is nontrivially palindromic in base 6.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×8020864³ (a number of 22 digits) contains 333 as substring.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8020867) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28404 + ... + 28684.

It is an arithmetic number, because the mean of its divisors is an integer number (503370).

Almost surely, 2^8020864 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 8020864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8053920).

8020864 is an abundant number, since it is smaller than the sum of its proper divisors (8086976).

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

8020864 is a wasteful number, since it uses less digits than its factorization.

8020864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 8020864 is about 2832.1129920962. The cubic root of 8020864 is about 200.1737157372.

The spelling of 8020864 in words is "eight million, twenty thousand, eight hundred sixty-four".