126081560 has 128 divisors (see below), whose sum is σ = 329313600. Its totient is φ = 43008000.

The previous prime is 126081559. The next prime is 126081563. The reversal of 126081560 is 65180621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126081563) 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 31 ways as a sum of consecutive naturals, for example, 523040 + ... + 523280.

Almost surely, 2^126081560 is an apocalyptic number.

126081560 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 126081560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164656800).

126081560 is an abundant number, since it is smaller than the sum of its proper divisors (203232040).

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

126081560 is a wasteful number, since it uses less digits than its factorization.

126081560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 126081560 is about 11228.6045437534. The cubic root of 126081560 is about 501.4379406889.

The spelling of 126081560 in words is "one hundred twenty-six million, eighty-one thousand, five hundred sixty".