126304560 has 180 divisors, whose sum is σ = 451334208. Its totient is φ = 31647744.

The previous prime is 126304553. The next prime is 126304561. The reversal of 126304560 is 65403621.

It is a tau number, because it is divible by the number of its divisors (180).

It is not an unprimeable number, because it can be changed into a prime (126304561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 207777 + ... + 208383.

Almost surely, 2^126304560 is an apocalyptic number.

126304560 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 126304560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225667104).

126304560 is an abundant number, since it is smaller than the sum of its proper divisors (325029648).

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

126304560 is a wasteful number, since it uses less digits than its factorization.

126304560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 126304560 is about 11238.5301530049. The cubic root of 126304560 is about 501.7333970582.

The spelling of 126304560 in words is "one hundred twenty-six million, three hundred four thousand, five hundred sixty".