82520064 has 216 divisors, whose sum is σ = 269049690. Its totient is φ = 24330240.

The previous prime is 82520041. The next prime is 82520071. The reversal of 82520064 is 46002528.

82520064 is a `hidden beast` number, since 82 + 520 + 0 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 54641664 + 27878400 = 7392^2 + 5280^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2230254 + ... + 2230290.

Almost surely, 2^82520064 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 82520064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134524845).

82520064 is an abundant number, since it is smaller than the sum of its proper divisors (186529626).

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

82520064 is a wasteful number, since it uses less digits than its factorization.

82520064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 82520064 is about 9084.0554819970. The cubic root of 82520064 is about 435.3646724003.

The spelling of 82520064 in words is "eighty-two million, five hundred twenty thousand, sixty-four".