126784 has 28 divisors (see below), whose sum is σ = 288544. Its totient is φ = 54144.

The previous prime is 126781. The next prime is 126823. The reversal of 126784 is 487621.

It is a tau number, because it is divible by the number of its divisors (28).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126781) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 307 + ... + 589.

2¹²⁶⁷⁸⁴ is an apocalyptic number.

126784 is a gapful number since it is divisible by the number (14) 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 126784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144272).

126784 is an abundant number, since it is smaller than the sum of its proper divisors (161760).

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

126784 is an equidigital number, since it uses as much as digits as its factorization.

126784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 292 counting only the distinct ones).

The product of its digits is 2688, while the sum is 28.

The square root of 126784 is about 356.0674093483. The cubic root of 126784 is about 50.2367439436.

Subtracting from 126784 its sum of digits (28), we obtain a triangular number (126756 = T₅₀₃).

The spelling of 126784 in words is "one hundred twenty-six thousand, seven hundred eighty-four".