82008576 has 180 divisors, whose sum is σ = 261963702. Its totient is φ = 24551424.

The previous prime is 82008551. The next prime is 82008581. The reversal of 82008576 is 67580028.

82008576 is a `hidden beast` number, since 82 + 0 + 0 + 8 + 576 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 80568576 + 1440000 = 8976^2 + 1200^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 82008576.

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, 2216430 + ... + 2216466.

Almost surely, 2^82008576 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 82008576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130981851).

82008576 is an abundant number, since it is smaller than the sum of its proper divisors (179955126).

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

82008576 is a wasteful number, since it uses less digits than its factorization.

82008576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 82008576 is about 9055.8586561408. The cubic root of 82008576 is about 434.4632936884.

The spelling of 82008576 in words is "eighty-two million, eight thousand, five hundred seventy-six".