8389264 has 40 divisors (see below), whose sum is σ = 17858232. Its totient is φ = 3793920.

The previous prime is 8389261. The next prime is 8389301. The reversal of 8389264 is 4629838.

It can be written as a sum of positive squares in 4 ways, for example, as 25600 + 8363664 = 160^2 + 2892^2 .

It is a d-powerful number, because it can be written as 8 + 3³ + 8³ + 9 + 2²³ + 6² + 4³ .

It is not an unprimeable number, because it can be changed into a prime (8389261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10644 + ... + 11404.

Almost surely, 2^8389264 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 8389264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8929116).

8389264 is an abundant number, since it is smaller than the sum of its proper divisors (9468968).

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

8389264 is a wasteful number, since it uses less digits than its factorization.

8389264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 829 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The square root of 8389264 is about 2896.4226210966. The cubic root of 8389264 is about 203.1926310180.

The spelling of 8389264 in words is "eight million, three hundred eighty-nine thousand, two hundred sixty-four".