82358608 has 80 divisors (see below), whose sum is σ = 178984080. Its totient is φ = 36528128.

The previous prime is 82358603. The next prime is 82358609. The reversal of 82358608 is 80685328.

It can be written as a sum of positive squares in 8 ways, for example, as 25928464 + 56430144 = 5092^2 + 7512^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82358603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417966 + ... + 418162.

It is an arithmetic number, because the mean of its divisors is an integer number (2237301).

Almost surely, 2^82358608 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 82358608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89492040).

82358608 is an abundant number, since it is smaller than the sum of its proper divisors (96625472).

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

82358608 is a wasteful number, since it uses less digits than its factorization.

82358608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 82358608 is about 9075.1643511289. The cubic root of 82358608 is about 435.0805470258.

The spelling of 82358608 in words is "eighty-two million, three hundred fifty-eight thousand, six hundred eight".