126806400 has 576 divisors, whose sum is σ = 562330080. Its totient is φ = 26542080.

The previous prime is 126806371. The next prime is 126806401. The reversal of 126806400 is 4608621.

126806400 is a `hidden beast` number, since 12 + 6 + 8 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126806401) 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 71 ways as a sum of consecutive naturals, for example, 3427182 + ... + 3427218.

Almost surely, 2^126806400 is an apocalyptic number.

126806400 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 126806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281165040).

126806400 is an abundant number, since it is smaller than the sum of its proper divisors (435523680).

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

126806400 is a wasteful number, since it uses less digits than its factorization.

126806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 126806400 is about 11260.8347825550. The cubic root of 126806400 is about 502.3970235263.

It can be divided in two parts, 126 and 806400, that multiplied together give a square (101606400 = 10080²).

The spelling of 126806400 in words is "one hundred twenty-six million, eight hundred six thousand, four hundred".