82568160 has 240 divisors, whose sum is σ = 305163936. Its totient is φ = 20984832.

The previous prime is 82568153. The next prime is 82568173. The reversal of 82568160 is 6186528.

It is a happy number.

82568160 is a `hidden beast` number, since 82 + 568 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 297942 + ... + 298218.

Almost surely, 2^82568160 is an apocalyptic number.

82568160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82568160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152581968).

82568160 is an abundant number, since it is smaller than the sum of its proper divisors (222595776).

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

82568160 is a wasteful number, since it uses less digits than its factorization.

82568160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 310 counting only the distinct ones).

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

The square root of 82568160 is about 9086.7023721480. The cubic root of 82568160 is about 435.4492386318.

It can be divided in two parts, 82568 and 160, that added together give a palindrome (82728).

The spelling of 82568160 in words is "eighty-two million, five hundred sixty-eight thousand, one hundred sixty".