8264320 has 64 divisors (see below), whose sum is σ = 20349000. Its totient is φ = 3207168.

The previous prime is 8264317. The next prime is 8264327. The reversal of 8264320 is 234628.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8156736 + 107584 = 2856^2 + 328^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×8264320³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (8264327) 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, 23506 + ... + 23854.

Almost surely, 2^8264320 is an apocalyptic number.

8264320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10174500).

8264320 is an abundant number, since it is smaller than the sum of its proper divisors (12084680).

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

8264320 is a wasteful number, since it uses less digits than its factorization.

8264320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 8264320 is about 2874.7730345194. The cubic root of 8264320 is about 202.1788436700.

Adding to 8264320 its reverse (234628), we get a palindrome (8498948).

The spelling of 8264320 in words is "eight million, two hundred sixty-four thousand, three hundred twenty".