8331264 has 84 divisors (see below), whose sum is σ = 24279606. Its totient is φ = 2752512.

The previous prime is 8331263. The next prime is 8331269. The reversal of 8331264 is 4621338.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 8294400 + 36864 = 2880^2 + 192^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8331263) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73672 + ... + 73784.

Almost surely, 2^8331264 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 8331264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12139803).

8331264 is an abundant number, since it is smaller than the sum of its proper divisors (15948342).

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

8331264 is a wasteful number, since it uses less digits than its factorization.

8331264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 118 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 8331264 is about 2886.3929046476. The cubic root of 8331264 is about 202.7232836588.

The spelling of 8331264 in words is "eight million, three hundred thirty-one thousand, two hundred sixty-four".