82540808 has 64 divisors (see below), whose sum is σ = 182785920. Its totient is φ = 34214400.

The previous prime is 82540793. The next prime is 82540811. The reversal of 82540808 is 80804528.

It is a super-3 number, since 3×82540808³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249203 + ... + 249533.

It is an arithmetic number, because the mean of its divisors is an integer number (2856030).

Almost surely, 2^82540808 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 82540808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91392960).

82540808 is an abundant number, since it is smaller than the sum of its proper divisors (100245112).

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

82540808 is a wasteful number, since it uses less digits than its factorization.

82540808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 35.

The square root of 82540808 is about 9085.1971910355. The cubic root of 82540808 is about 435.4011501879.

The spelling of 82540808 in words is "eighty-two million, five hundred forty thousand, eight hundred eight".