8306064 has 200 divisors, whose sum is σ = 28357560. Its totient is φ = 2322432.

The previous prime is 8306063. The next prime is 8306069. The reversal of 8306064 is 4606038.

It can be written as a sum of positive squares in 4 ways, for example, as 1016064 + 7290000 = 1008^2 + 2700^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8306063) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 286402 + ... + 286430.

Almost surely, 2^8306064 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 8306064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14178780).

8306064 is an abundant number, since it is smaller than the sum of its proper divisors (20051496).

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

8306064 is a wasteful number, since it uses less digits than its factorization.

8306064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 64 counting only the distinct ones).

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

The square root of 8306064 is about 2882.0242885861. The cubic root of 8306064 is about 202.5186814041.

The spelling of 8306064 in words is "eight million, three hundred six thousand, sixty-four".