82584064 has 40 divisors (see below), whose sum is σ = 166744908. Its totient is φ = 40857600.

The previous prime is 82584023. The next prime is 82584067. The reversal of 82584064 is 46048528.

It can be written as a sum of positive squares in 2 ways, for example, as 81144064 + 1440000 = 9008^2 + 1200^2 .

It is a super-3 number, since 3×82584064³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (82584067) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50914 + ... + 52510.

Almost surely, 2^82584064 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 82584064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83372454).

82584064 is an abundant number, since it is smaller than the sum of its proper divisors (84160844).

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

82584064 is a wasteful number, since it uses less digits than its factorization.

82584064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 82584064 is about 9087.5774549657. The cubic root of 82584064 is about 435.4771950906.

The spelling of 82584064 in words is "eighty-two million, five hundred eighty-four thousand, sixty-four".