126561160 has 96 divisors (see below), whose sum is σ = 317923200. Its totient is φ = 45302400.

The previous prime is 126561089. The next prime is 126561161. The reversal of 126561160 is 61165621.

It is not an unprimeable number, because it can be changed into a prime (126561161) 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 23 ways as a sum of consecutive naturals, for example, 382195 + ... + 382525.

It is an arithmetic number, because the mean of its divisors is an integer number (3311700).

Almost surely, 2^126561160 is an apocalyptic number.

126561160 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 126561160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158961600).

126561160 is an abundant number, since it is smaller than the sum of its proper divisors (191362040).

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

126561160 is a wasteful number, since it uses less digits than its factorization.

126561160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 126561160 is about 11249.9404442868. The cubic root of 126561160 is about 502.0729406242.

The spelling of 126561160 in words is "one hundred twenty-six million, five hundred sixty-one thousand, one hundred sixty".