126856400 has 90 divisors (see below), whose sum is σ = 335125686. Its totient is φ = 46112000.

The previous prime is 126856361. The next prime is 126856403. The reversal of 126856400 is 4658621.

It can be written as a sum of positive squares in 3 ways, for example, as 21752896 + 105103504 = 4664^2 + 10252^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126856403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 47090 + ... + 49710.

Almost surely, 2^126856400 is an apocalyptic number.

126856400 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 126856400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167562843).

126856400 is an abundant number, since it is smaller than the sum of its proper divisors (208269286).

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

126856400 is a wasteful number, since it uses less digits than its factorization.

126856400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 126856400 is about 11263.0546478298. The cubic root of 126856400 is about 502.4630468771.

The spelling of 126856400 in words is "one hundred twenty-six million, eight hundred fifty-six thousand, four hundred".