82560 has 64 divisors (see below), whose sum is σ = 269280. Its totient is φ = 21504.

The previous prime is 82559. The next prime is 82561. The reversal of 82560 is 6528.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (82559) and next prime (82561).

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 4.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 82560.

It is not an unprimeable number, because it can be changed into a prime (82561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1899 + ... + 1941.

2⁸²⁵⁶⁰ is an apocalyptic number.

82560 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 82560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134640).

82560 is an abundant number, since it is smaller than the sum of its proper divisors (186720).

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

82560 is a wasteful number, since it uses less digits than its factorization.

82560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 82560 is about 287.3325599371. The cubic root of 82560 is about 43.5434893381.

The spelling of 82560 in words is "eighty-two thousand, five hundred sixty".