83260 has 24 divisors (see below), whose sum is σ = 183456. Its totient is φ = 31680.

The previous prime is 83257. The next prime is 83267. The reversal of 83260 is 6238.

83260 = T₅₉ + T₆₀ + ... + T₈₈.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83267) 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, 370 + ... + 550.

It is an arithmetic number, because the mean of its divisors is an integer number (7644).

2⁸³²⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91728).

83260 is an abundant number, since it is smaller than the sum of its proper divisors (100196).

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

83260 is a wasteful number, since it uses less digits than its factorization.

83260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 83260 is about 288.5480895795. The cubic root of 83260 is about 43.6662069632. Note that the first 3 decimals are identical.

Adding to 83260 its reverse (6238), we get a palindrome (89498).

It can be divided in two parts, 83 and 260, that added together give a palindrome (343).

The spelling of 83260 in words is "eighty-three thousand, two hundred sixty".