82106560 has 56 divisors (see below), whose sum is σ = 196321680. Its totient is φ = 32707584.

The previous prime is 82106537. The next prime is 82106567. The reversal of 82106560 is 6560128.

It is not an unprimeable number, because it can be changed into a prime (82106567) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 120942 + ... + 121618.

Almost surely, 2^82106560 is an apocalyptic number.

82106560 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 82106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98160840).

82106560 is an abundant number, since it is smaller than the sum of its proper divisors (114215120).

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

82106560 is a wasteful number, since it uses less digits than its factorization.

82106560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 82106560 is about 9061.2670195729. The cubic root of 82106560 is about 434.6362573396.

Adding to 82106560 its reverse (6560128), we get a palindrome (88666688).

The spelling of 82106560 in words is "eighty-two million, one hundred six thousand, five hundred sixty".