126882 has 48 divisors (see below), whose sum is σ = 336960. Its totient is φ = 33696.

The previous prime is 126859. The next prime is 126913. The reversal of 126882 is 288621.

126882 is nontrivially palindromic in base 12.

It is an unprimeable number.

126882 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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2368 + ... + 2420.

It is an arithmetic number, because the mean of its divisors is an integer number (7020).

2¹²⁶⁸⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168480).

126882 is an abundant number, since it is smaller than the sum of its proper divisors (210078).

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

126882 is a wasteful number, since it uses less digits than its factorization.

126882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 84 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 126882 is about 356.2049971575. The cubic root of 126882 is about 50.2496844118.

The spelling of 126882 in words is "one hundred twenty-six thousand, eight hundred eighty-two".