82304064 has 84 divisors (see below), whose sum is σ = 241468656. Its totient is φ = 26788608.

The previous prime is 82304063. The next prime is 82304077. The reversal of 82304064 is 46040328.

It is not an unprimeable number, because it can be changed into a prime (82304063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23107 + ... + 26429.

Almost surely, 2^82304064 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 82304064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120734328).

82304064 is an abundant number, since it is smaller than the sum of its proper divisors (159164592).

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

82304064 is a wasteful number, since it uses less digits than its factorization.

82304064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3384 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 82304064 is about 9072.1587287701. The cubic root of 82304064 is about 434.9844782412.

The spelling of 82304064 in words is "eighty-two million, three hundred four thousand, sixty-four".