82159008 has 96 divisors (see below), whose sum is σ = 223534080. Its totient is φ = 26407680.

The previous prime is 82158991. The next prime is 82159019. The reversal of 82159008 is 80095128.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 82159008.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 591003 + ... + 591141.

It is an arithmetic number, because the mean of its divisors is an integer number (2328480).

Almost surely, 2^82159008 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 82159008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111767040).

82159008 is an abundant number, since it is smaller than the sum of its proper divisors (141375072).

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

82159008 is a wasteful number, since it uses less digits than its factorization.

82159008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 82159008 is about 9064.1606340576. The cubic root of 82159008 is about 434.7287832405.

The spelling of 82159008 in words is "eighty-two million, one hundred fifty-nine thousand, eight".