82116560 has 20 divisors (see below), whose sum is σ = 190921188. Its totient is φ = 32846592.

The previous prime is 82116539. The next prime is 82116571. The reversal of 82116560 is 6561128.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 24720784 + 57395776 = 4972^2 + 7576^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 513149 + ... + 513308.

Almost surely, 2^82116560 is an apocalyptic number.

82116560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82116560 is an abundant number, since it is smaller than the sum of its proper divisors (108804628).

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

82116560 is a wasteful number, since it uses less digits than its factorization.

82116560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026470 (or 1026464 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 82116560 is about 9061.8188019845. The cubic root of 82116560 is about 434.6539018336.

Adding to 82116560 its reverse (6561128), we get a palindrome (88677688).

The spelling of 82116560 in words is "eighty-two million, one hundred sixteen thousand, five hundred sixty".