126005760 has 160 divisors (see below), whose sum is σ = 447828480. Its totient is φ = 33583104.

The previous prime is 126005743. The next prime is 126005773. The reversal of 126005760 is 67500621.

126005760 is a `hidden beast` number, since 1 + 2 + 600 + 57 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68209 + ... + 70031.

It is an arithmetic number, because the mean of its divisors is an integer number (2798928).

Almost surely, 2^126005760 is an apocalyptic number.

126005760 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 126005760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223914240).

126005760 is an abundant number, since it is smaller than the sum of its proper divisors (321822720).

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

126005760 is an equidigital number, since it uses as much as digits as its factorization.

126005760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 126005760 is about 11225.2287281819. The cubic root of 126005760 is about 501.3374326912.

The spelling of 126005760 in words is "one hundred twenty-six million, five thousand, seven hundred sixty".