126807 has 8 divisors (see below), whose sum is σ = 173184. Its totient is φ = 82488.

The previous prime is 126781. The next prime is 126823. The reversal of 126807 is 708621.

126807 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 126807 - 2⁶ = 126743 is a prime.

126807 is strictly pandigital in base 7.

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 126807.

It is not an unprimeable number, because it can be changed into a prime (126827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 363 + ... + 620.

It is an arithmetic number, because the mean of its divisors is an integer number (21648).

2¹²⁶⁸⁰⁷ is an apocalyptic number.

126807 is a deficient number, since it is larger than the sum of its proper divisors (46377).

126807 is an equidigital number, since it uses as much as digits as its factorization.

126807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029.

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 126807 is about 356.0997051389. The cubic root of 126807 is about 50.2397815909.

The spelling of 126807 in words is "one hundred twenty-six thousand, eight hundred seven".