82186560 has 84 divisors (see below), whose sum is σ = 282697428. Its totient is φ = 21915648.

The previous prime is 82186553. The next prime is 82186561. The reversal of 82186560 is 6568128.

It is a happy number.

82186560 is a `hidden beast` number, since 82 + 18 + 6 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19079424 + 63107136 = 4368^2 + 7944^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82186561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11389 + ... + 17148.

Almost surely, 2^82186560 is an apocalyptic number.

82186560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82186560 is an abundant number, since it is smaller than the sum of its proper divisors (200510868).

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

82186560 is a wasteful number, since it uses less digits than its factorization.

82186560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28560 (or 28547 counting only the distinct ones).

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

The square root of 82186560 is about 9065.6803385074. The cubic root of 82186560 is about 434.7773732007. Note that the first 3 decimals are identical.

The spelling of 82186560 in words is "eighty-two million, one hundred eighty-six thousand, five hundred sixty".