8032864 has 72 divisors (see below), whose sum is σ = 18960480. Its totient is φ = 3338496.

The previous prime is 8032859. The next prime is 8032879. The reversal of 8032864 is 4682308.

8032864 = T₅₆₁ + T₅₆₂ + ... + T₆₀₇.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73642 + ... + 73750.

It is an arithmetic number, because the mean of its divisors is an integer number (263340).

Almost surely, 2^8032864 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 8032864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9480240).

8032864 is an abundant number, since it is smaller than the sum of its proper divisors (10927616).

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

8032864 is a wasteful number, since it uses less digits than its factorization.

8032864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 8032864 is about 2834.2307598359. The cubic root of 8032864 is about 200.2734925054.

The spelling of 8032864 in words is "eight million, thirty-two thousand, eight hundred sixty-four".