126580 has 12 divisors (see below), whose sum is σ = 265860. Its totient is φ = 50624.

The previous prime is 126551. The next prime is 126583. The reversal of 126580 is 85621.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 71824 + 54756 = 268^2 + 234^2 .

It is a plaindrome in base 13 and base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3145 + ... + 3184.

It is an arithmetic number, because the mean of its divisors is an integer number (22155).

2¹²⁶⁵⁸⁰ is an apocalyptic number.

126580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126580 is an abundant number, since it is smaller than the sum of its proper divisors (139280).

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

126580 is a wasteful number, since it uses less digits than its factorization.

126580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6338 (or 6336 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 126580 is about 355.7808314117. The cubic root of 126580 is about 50.2097852387.

The spelling of 126580 in words is "one hundred twenty-six thousand, five hundred eighty".