526580 has 24 divisors (see below), whose sum is σ = 1120392. Its totient is φ = 207872.

The previous prime is 526573. The next prime is 526583. The reversal of 526580 is 85625.

526580 is nontrivially palindromic in base 9.

It can be written as a sum of positive squares in 4 ways, for example, as 13924 + 512656 = 118^2 + 716^2 .

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (526583) by changing a digit.

526580 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2144 + ... + 2376.

It is an arithmetic number, because the mean of its divisors is an integer number (46683).

2⁵²⁶⁵⁸⁰ is an apocalyptic number.

It is an amenable number.

526580 is an abundant number, since it is smaller than the sum of its proper divisors (593812).

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

526580 is a wasteful number, since it uses less digits than its factorization.

526580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 526580 is about 725.6583218017. The cubic root of 526580 is about 80.7522787843.

The spelling of 526580 in words is "five hundred twenty-six thousand, five hundred eighty".