82517660 has 48 divisors (see below), whose sum is σ = 189423360. Its totient is φ = 30059520.

The previous prime is 82517657. The next prime is 82517681. The reversal of 82517660 is 6671528.

It is a self number, because there is not a number n which added to its sum of digits gives 82517660.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6626 + ... + 14454.

It is an arithmetic number, because the mean of its divisors is an integer number (3946320).

Almost surely, 2^82517660 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 82517660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94711680).

82517660 is an abundant number, since it is smaller than the sum of its proper divisors (106905700).

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

82517660 is a wasteful number, since it uses less digits than its factorization.

82517660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7886 (or 7884 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 82517660 is about 9083.9231612778. The cubic root of 82517660 is about 435.3604446332.

The spelling of 82517660 in words is "eighty-two million, five hundred seventeen thousand, six hundred sixty".