82107008 has 64 divisors (see below), whose sum is σ = 175429800. Its totient is φ = 38141952.

The previous prime is 82106989. The next prime is 82107023. The reversal of 82107008 is 80070128.

It can be written as a sum of positive squares in 4 ways, for example, as 69089344 + 13017664 = 8312^2 + 3608^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 210878 + ... + 211266.

Almost surely, 2^82107008 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 82107008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87714900).

82107008 is an abundant number, since it is smaller than the sum of its proper divisors (93322792).

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

82107008 is a wasteful number, since it uses less digits than its factorization.

82107008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 82107008 is about 9061.2917401439. The cubic root of 82107008 is about 434.6370478436.

The spelling of 82107008 in words is "eighty-two million, one hundred seven thousand, eight".