82011008 has 64 divisors (see below), whose sum is σ = 172951200. Its totient is φ = 38658048.

The previous prime is 82011001. The next prime is 82011053. The reversal of 82011008 is 80011028.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82011001) 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 7 ways as a sum of consecutive naturals, for example, 261860 + ... + 262172.

Almost surely, 2^82011008 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 82011008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86475600).

82011008 is an abundant number, since it is smaller than the sum of its proper divisors (90940192).

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

82011008 is a wasteful number, since it uses less digits than its factorization.

82011008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 82011008 is about 9055.9929328594. The cubic root of 82011008 is about 434.4675883786.

Adding to 82011008 its sum of digits (20), we get a palindrome (82011028).

Adding to 82011008 its product of nonzero digits (128), we get a square (82011136 = 9056²).

The spelling of 82011008 in words is "eighty-two million, eleven thousand, eight".