82516608 has 96 divisors (see below), whose sum is σ = 240589440. Its totient is φ = 27142656.

The previous prime is 82516583. The next prime is 82516619. The reversal of 82516608 is 80661528.

It is a happy number.

82516608 is a `hidden beast` number, since 82 + 516 + 60 + 8 = 666.

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

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 95185 + ... + 96047.

It is an arithmetic number, because the mean of its divisors is an integer number (2506140).

Almost surely, 2^82516608 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 82516608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120294720).

82516608 is an abundant number, since it is smaller than the sum of its proper divisors (158072832).

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

82516608 is a wasteful number, since it uses less digits than its factorization.

82516608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 82516608 is about 9083.8652565964. The cubic root of 82516608 is about 435.3585945196.

The spelling of 82516608 in words is "eighty-two million, five hundred sixteen thousand, six hundred eight".