126826560 has 336 divisors, whose sum is σ = 519232896. Its totient is φ = 28864512.

The previous prime is 126826559. The next prime is 126826589. The reversal of 126826560 is 65628621.

126826560 is a `hidden beast` number, since 12 + 6 + 82 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 544204 + ... + 544436.

It is an arithmetic number, because the mean of its divisors is an integer number (1545336).

Almost surely, 2^126826560 is an apocalyptic number.

126826560 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 126826560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259616448).

126826560 is an abundant number, since it is smaller than the sum of its proper divisors (392406336).

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

126826560 is an equidigital number, since it uses as much as digits as its factorization.

126826560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 126826560 is about 11261.7298848800. The cubic root of 126826560 is about 502.4236462291.

The spelling of 126826560 in words is "one hundred twenty-six million, eight hundred twenty-six thousand, five hundred sixty".