126880 has 48 divisors (see below), whose sum is σ = 328104. Its totient is φ = 46080.

The previous prime is 126859. The next prime is 126913. The reversal of 126880 is 88621.

126880 = 8² + 9² + ... + 72².

It can be written as a sum of positive squares in 4 ways, for example, as 41616 + 85264 = 204^2 + 292^2 .

It is an unprimeable number.

126880 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 7 ways as a sum of consecutive naturals, for example, 2050 + ... + 2110.

2¹²⁶⁸⁸⁰ is an apocalyptic number.

126880 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 126880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164052).

126880 is an abundant number, since it is smaller than the sum of its proper divisors (201224).

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

126880 is a wasteful number, since it uses less digits than its factorization.

126880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 126880 is about 356.2021897743. The cubic root of 126880 is about 50.2494203872.

The spelling of 126880 in words is "one hundred twenty-six thousand, eight hundred eighty".