96580 has 24 divisors (see below), whose sum is σ = 221760. Its totient is φ = 35040.

The previous prime is 96557. The next prime is 96581. The reversal of 96580 is 8569.

96580 is a nontrivial binomial coefficient, being equal to C(440, 2).

It is a nialpdrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (96581) 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, 1 + ... + 439.

It is an arithmetic number, because the mean of its divisors is an integer number (9240).

2⁹⁶⁵⁸⁰ is an apocalyptic number.

96580 is the 439-th triangular number and also the 220-th hexagonal number.

96580 is the 147-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110880).

96580 is an abundant number, since it is smaller than the sum of its proper divisors (125180).

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

96580 is a wasteful number, since it uses less digits than its factorization.

96580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 96580 is about 310.7732292203. The cubic root of 96580 is about 45.8805977078.

It can be divided in two parts, 96 and 580, that added together give a palindrome (676).

The spelling of 96580 in words is "ninety-six thousand, five hundred eighty".