82960 has 40 divisors (see below), whose sum is σ = 207576. Its totient is φ = 30720.

The previous prime is 82939. The next prime is 82963. The reversal of 82960 is 6928.

It can be written as a sum of positive squares in 4 ways, for example, as 2304 + 80656 = 48^2 + 284^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82963) 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, 1330 + ... + 1390.

2⁸²⁹⁶⁰ is an apocalyptic number.

82960 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 82960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103788).

82960 is an abundant number, since it is smaller than the sum of its proper divisors (124616).

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

82960 is a wasteful number, since it uses less digits than its factorization.

82960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 82960 is about 288.0277764383. The cubic root of 82960 is about 43.6136982461.

The spelling of 82960 in words is "eighty-two thousand, nine hundred sixty".