126280 has 64 divisors (see below), whose sum is σ = 362880. Its totient is φ = 38400.

The previous prime is 126271. The next prime is 126307. The reversal of 126280 is 82621.

126280 = T₉₉ + T₁₀₀ + ... + T₁₁₉.

It is a happy number.

It is an unprimeable number.

126280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3060 + ... + 3100.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

2¹²⁶²⁸⁰ is an apocalyptic number.

126280 is a gapful number since it is divisible by the number (10) 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 126280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440).

126280 is an abundant number, since it is smaller than the sum of its proper divisors (236600).

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

126280 is a wasteful number, since it uses less digits than its factorization.

126280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 126280 is about 355.3589734339. The cubic root of 126280 is about 50.1700874160.

It can be divided in two parts, 126 and 280, that added together give a triangular number (406 = T₂₈).

The spelling of 126280 in words is "one hundred twenty-six thousand, two hundred eighty".