82506080 has 24 divisors (see below), whose sum is σ = 194920992. Its totient is φ = 33002368.

The previous prime is 82506071. The next prime is 82506089. The reversal of 82506080 is 8060528.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82506071) and next prime (82506089).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82506089) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 257672 + ... + 257991.

It is an arithmetic number, because the mean of its divisors is an integer number (8121708).

Almost surely, 2^82506080 is an apocalyptic number.

82506080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82506080 is an abundant number, since it is smaller than the sum of its proper divisors (112414912).

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

82506080 is a wasteful number, since it uses less digits than its factorization.

82506080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515678 (or 515670 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 82506080 is about 9083.2857491108. The cubic root of 82506080 is about 435.3400784481.

The spelling of 82506080 in words is "eighty-two million, five hundred six thousand, eighty".